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Use Euclid algorithms to find hcf of 4052 and 12575?
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Use Euclid algorithms to find hcf of 4052 and 12575?
Using Euclid's Algorithm to Find HCF of 4052 and 12575
- Step 1: We start by dividing the larger number, 12575, by the smaller number, 4052.
- Step 2: The remainder of this division, 1369, becomes the new divisor, and the previous divisor, 4052, becomes the new dividend.
- Step 3: We continue this process of dividing until we reach a remainder of 0.
- Step 4: The last non-zero remainder, which is 1, is the highest common factor (HCF) of the given numbers.
Let's apply Euclid's algorithm step by step:
Step 1:
Divide 12575 by 4052:
12575 ÷ 4052 = 3 with a remainder of 1369
Step 2:
Divide 4052 by 1369:
4052 ÷ 1369 = 2 with a remainder of 1314
Step 3:
Divide 1369 by 1314:
1369 ÷ 1314 = 1 with a remainder of 55
Step 4:
Divide 1314 by 55:
1314 ÷ 55 = 23 with a remainder of 9
Step 5:
Divide 55 by 9:
55 ÷ 9 = 6 with a remainder of 1
Step 6:
Divide 9 by 1:
9 ÷ 1 = 9 with a remainder of 0
Since the remainder is now 0, we stop the process. The last non-zero remainder, which is 1, is the highest common factor (HCF) of 4052 and 12575.
Therefore, the HCF of 4052 and 12575 is 1.
Community Answer
Use Euclid algorithms to find hcf of 4052 and 12575?
Step 1: since 12576>4052,apply the division lemma to 12576 and 4052, to get ,12576=4052×3+420
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Use Euclid algorithms to find hcf of 4052 and 12575?
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Use Euclid algorithms to find hcf of 4052 and 12575? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Use Euclid algorithms to find hcf of 4052 and 12575? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Use Euclid algorithms to find hcf of 4052 and 12575?.
Use Euclid algorithms to find hcf of 4052 and 12575? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Use Euclid algorithms to find hcf of 4052 and 12575? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Use Euclid algorithms to find hcf of 4052 and 12575?.
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