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Find the HCF of 26,91,117 by long division method?
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Find the HCF of 26,91,117 by long division method?
Step 1: Understanding HCF
Finding the Highest Common Factor (HCF) or Greatest Common Divisor (GCD) of numbers helps identify the largest number that divides each of them without leaving a remainder. Here, we will find the HCF of 26, 91, and 117 using the long division method.
Step 2: Long Division Method
We will apply the long division method step by step.
Step 3: HCF of First Two Numbers (26 and 91)
- Divide 91 by 26:
- 91 ÷ 26 = 3 (Quotient) with a remainder of 13.
- Now, use 26 and the remainder 13:
- 26 ÷ 13 = 2 (Quotient) with a remainder of 0.
Since the remainder is 0, the HCF of 26 and 91 is 13.
Step 4: HCF of Result with Third Number (117)
- Now we need to find the HCF of 13 (previous result) and 117:
- 117 ÷ 13 = 9 (Quotient) with a remainder of 0.
Again, the remainder is 0. Thus, the HCF of 13 and 117 is 13.
Step 5: Final Result
Therefore, the HCF of 26, 91, and 117 is 13.
Conclusion
The long division method allows us to systematically determine the HCF, ensuring accuracy at each step. By following this method, we confirmed that 13 is the largest number that divides all three given numbers without a remainder.
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Find the HCF of 26,91,117 by long division method?
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