Highest Common Factor of 3921, 6700 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 3921, 6700 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3921, 6700 is 1 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 3921, 6700 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 3921, 6700 is 1.

HCF(3921, 6700) = 1

HCF of 3921, 6700 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 3921, 6700 is 1.

Highest Common Factor of 3921,6700 using Euclid's algorithm

Highest Common Factor of 3921,6700 is 1

Step 1: Since 6700 > 3921, we apply the division lemma to 6700 and 3921, to get

6700 = 3921 x 1 + 2779

Step 2: Since the reminder 3921 ≠ 0, we apply division lemma to 2779 and 3921, to get

3921 = 2779 x 1 + 1142

Step 3: We consider the new divisor 2779 and the new remainder 1142, and apply the division lemma to get

2779 = 1142 x 2 + 495

We consider the new divisor 1142 and the new remainder 495,and apply the division lemma to get

1142 = 495 x 2 + 152

We consider the new divisor 495 and the new remainder 152,and apply the division lemma to get

495 = 152 x 3 + 39

We consider the new divisor 152 and the new remainder 39,and apply the division lemma to get

152 = 39 x 3 + 35

We consider the new divisor 39 and the new remainder 35,and apply the division lemma to get

39 = 35 x 1 + 4

We consider the new divisor 35 and the new remainder 4,and apply the division lemma to get

35 = 4 x 8 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3921 and 6700 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(35,4) = HCF(39,35) = HCF(152,39) = HCF(495,152) = HCF(1142,495) = HCF(2779,1142) = HCF(3921,2779) = HCF(6700,3921) .

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Frequently Asked Questions on HCF of 3921, 6700 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 3921, 6700?

Answer: HCF of 3921, 6700 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3921, 6700 using Euclid's Algorithm?

Answer: For arbitrary numbers 3921, 6700 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.