Highest Common Factor of 610, 932 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 610, 932 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 610, 932 is 2 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 610, 932 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 610, 932 is 2.
HCF(610, 932) = 2
HCF of 610, 932 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 610, 932 is 2.
Highest Common Factor of 610,932 is 2
Step 1: Since 932 > 610, we apply the division lemma to 932 and 610, to get
932 = 610 x 1 + 322
Step 2: Since the reminder 610 ≠ 0, we apply division lemma to 322 and 610, to get
610 = 322 x 1 + 288
Step 3: We consider the new divisor 322 and the new remainder 288, and apply the division lemma to get
322 = 288 x 1 + 34
We consider the new divisor 288 and the new remainder 34,and apply the division lemma to get
288 = 34 x 8 + 16
We consider the new divisor 34 and the new remainder 16,and apply the division lemma to get
34 = 16 x 2 + 2
We consider the new divisor 16 and the new remainder 2,and apply the division lemma to get
16 = 2 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 610 and 932 is 2
Notice that 2 = HCF(16,2) = HCF(34,16) = HCF(288,34) = HCF(322,288) = HCF(610,322) = HCF(932,610) .
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Frequently Asked Questions on HCF of 610, 932 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 610, 932?
Answer: HCF of 610, 932 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 610, 932 using Euclid's Algorithm?
Answer: For arbitrary numbers 610, 932 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.