Highest Common Factor of 676, 832 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 676, 832 i.e. 52 the largest integer that leaves a remainder zero for all numbers.
HCF of 676, 832 is 52 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 676, 832 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 676, 832 is 52.
HCF(676, 832) = 52
HCF of 676, 832 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 676, 832 is 52.
Highest Common Factor of 676,832 is 52
Step 1: Since 832 > 676, we apply the division lemma to 832 and 676, to get
832 = 676 x 1 + 156
Step 2: Since the reminder 676 ≠ 0, we apply division lemma to 156 and 676, to get
676 = 156 x 4 + 52
Step 3: We consider the new divisor 156 and the new remainder 52, and apply the division lemma to get
156 = 52 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 52, the HCF of 676 and 832 is 52
Notice that 52 = HCF(156,52) = HCF(676,156) = HCF(832,676) .
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Frequently Asked Questions on HCF of 676, 832 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 676, 832?
Answer: HCF of 676, 832 is 52 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 676, 832 using Euclid's Algorithm?
Answer: For arbitrary numbers 676, 832 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.