Highest Common Factor of 932, 3460 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 932, 3460 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 932, 3460 is 4 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 932, 3460 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 932, 3460 is 4.
HCF(932, 3460) = 4
HCF of 932, 3460 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 932, 3460 is 4.
Highest Common Factor of 932,3460 is 4
Step 1: Since 3460 > 932, we apply the division lemma to 3460 and 932, to get
3460 = 932 x 3 + 664
Step 2: Since the reminder 932 ≠ 0, we apply division lemma to 664 and 932, to get
932 = 664 x 1 + 268
Step 3: We consider the new divisor 664 and the new remainder 268, and apply the division lemma to get
664 = 268 x 2 + 128
We consider the new divisor 268 and the new remainder 128,and apply the division lemma to get
268 = 128 x 2 + 12
We consider the new divisor 128 and the new remainder 12,and apply the division lemma to get
128 = 12 x 10 + 8
We consider the new divisor 12 and the new remainder 8,and apply the division lemma to get
12 = 8 x 1 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 932 and 3460 is 4
Notice that 4 = HCF(8,4) = HCF(12,8) = HCF(128,12) = HCF(268,128) = HCF(664,268) = HCF(932,664) = HCF(3460,932) .
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Frequently Asked Questions on HCF of 932, 3460 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 932, 3460?
Answer: HCF of 932, 3460 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 932, 3460 using Euclid's Algorithm?
Answer: For arbitrary numbers 932, 3460 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.