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If HCF and LCM of two numbers is 13 and 1989 respectively and one of the numbers is 117, then find the other
numbe?
numbe?
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If HCF and LCM of two numbers is 13 and 1989 respectively and one of t...
To find the other number when given the HCF, LCM, and one number, we can use the relationship between these concepts.
Understanding the Relationship
- The product of two numbers is equal to the product of their HCF and LCM. This can be expressed as:
\[
\text{Number 1} \times \text{Number 2} = \text{HCF} \times \text{LCM}
\]
Given Values
- HCF = 13
- LCM = 1989
- One number (Number 1) = 117
Using the Formula
1. Calculate the Product of HCF and LCM:
\[
\text{HCF} \times \text{LCM} = 13 \times 1989
\]
- Calculate \( 13 \times 1989 \):
- \( 13 \times 1989 = 25857 \)
2. Set Up the Equation:
\[
117 \times \text{Number 2} = 25857
\]
Finding the Other Number
1. Isolate Number 2:
\[
\text{Number 2} = \frac{25857}{117}
\]
2. Perform the Division:
- Calculate \( 25857 \div 117 = 221 \)
Conclusion
- The other number is 221.
- Thus, the two numbers are 117 and 221, having an HCF of 13 and an LCM of 1989.
Understanding the Relationship
- The product of two numbers is equal to the product of their HCF and LCM. This can be expressed as:
\[
\text{Number 1} \times \text{Number 2} = \text{HCF} \times \text{LCM}
\]
Given Values
- HCF = 13
- LCM = 1989
- One number (Number 1) = 117
Using the Formula
1. Calculate the Product of HCF and LCM:
\[
\text{HCF} \times \text{LCM} = 13 \times 1989
\]
- Calculate \( 13 \times 1989 \):
- \( 13 \times 1989 = 25857 \)
2. Set Up the Equation:
\[
117 \times \text{Number 2} = 25857
\]
Finding the Other Number
1. Isolate Number 2:
\[
\text{Number 2} = \frac{25857}{117}
\]
2. Perform the Division:
- Calculate \( 25857 \div 117 = 221 \)
Conclusion
- The other number is 221.
- Thus, the two numbers are 117 and 221, having an HCF of 13 and an LCM of 1989.
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If HCF and LCM of two numbers is 13 and 1989 respectively and one of the numbers is 117, then find the other numbe?
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If HCF and LCM of two numbers is 13 and 1989 respectively and one of the numbers is 117, then find the other numbe? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about If HCF and LCM of two numbers is 13 and 1989 respectively and one of the numbers is 117, then find the other numbe? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If HCF and LCM of two numbers is 13 and 1989 respectively and one of the numbers is 117, then find the other numbe?.
If HCF and LCM of two numbers is 13 and 1989 respectively and one of the numbers is 117, then find the other numbe? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about If HCF and LCM of two numbers is 13 and 1989 respectively and one of the numbers is 117, then find the other numbe? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If HCF and LCM of two numbers is 13 and 1989 respectively and one of the numbers is 117, then find the other numbe?.
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