Highest Common Factor of 3721, 6859 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 3721, 6859 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3721, 6859 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 3721, 6859 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 3721, 6859 is 1.

HCF(3721, 6859) = 1

HCF of 3721, 6859 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 3721, 6859 is 1.

Highest Common Factor of 3721,6859 using Euclid's algorithm

Highest Common Factor of 3721,6859 is 1

Step 1: Since 6859 > 3721, we apply the division lemma to 6859 and 3721, to get

6859 = 3721 x 1 + 3138

Step 2: Since the reminder 3721 ≠ 0, we apply division lemma to 3138 and 3721, to get

3721 = 3138 x 1 + 583

Step 3: We consider the new divisor 3138 and the new remainder 583, and apply the division lemma to get

3138 = 583 x 5 + 223

We consider the new divisor 583 and the new remainder 223,and apply the division lemma to get

583 = 223 x 2 + 137

We consider the new divisor 223 and the new remainder 137,and apply the division lemma to get

223 = 137 x 1 + 86

We consider the new divisor 137 and the new remainder 86,and apply the division lemma to get

137 = 86 x 1 + 51

We consider the new divisor 86 and the new remainder 51,and apply the division lemma to get

86 = 51 x 1 + 35

We consider the new divisor 51 and the new remainder 35,and apply the division lemma to get

51 = 35 x 1 + 16

We consider the new divisor 35 and the new remainder 16,and apply the division lemma to get

35 = 16 x 2 + 3

We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get

16 = 3 x 5 + 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 3721 and 6859 is 1

Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(35,16) = HCF(51,35) = HCF(86,51) = HCF(137,86) = HCF(223,137) = HCF(583,223) = HCF(3138,583) = HCF(3721,3138) = HCF(6859,3721) .

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Frequently Asked Questions on HCF of 3721, 6859 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 3721, 6859?

Answer: HCF of 3721, 6859 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3721, 6859 using Euclid's Algorithm?

Answer: For arbitrary numbers 3721, 6859 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.