Highest Common Factor of 3715, 6868 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 3715, 6868 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3715, 6868 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 3715, 6868 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 3715, 6868 is 1.

HCF(3715, 6868) = 1

HCF of 3715, 6868 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 3715, 6868 is 1.

Highest Common Factor of 3715,6868 using Euclid's algorithm

Highest Common Factor of 3715,6868 is 1

Step 1: Since 6868 > 3715, we apply the division lemma to 6868 and 3715, to get

6868 = 3715 x 1 + 3153

Step 2: Since the reminder 3715 ≠ 0, we apply division lemma to 3153 and 3715, to get

3715 = 3153 x 1 + 562

Step 3: We consider the new divisor 3153 and the new remainder 562, and apply the division lemma to get

3153 = 562 x 5 + 343

We consider the new divisor 562 and the new remainder 343,and apply the division lemma to get

562 = 343 x 1 + 219

We consider the new divisor 343 and the new remainder 219,and apply the division lemma to get

343 = 219 x 1 + 124

We consider the new divisor 219 and the new remainder 124,and apply the division lemma to get

219 = 124 x 1 + 95

We consider the new divisor 124 and the new remainder 95,and apply the division lemma to get

124 = 95 x 1 + 29

We consider the new divisor 95 and the new remainder 29,and apply the division lemma to get

95 = 29 x 3 + 8

We consider the new divisor 29 and the new remainder 8,and apply the division lemma to get

29 = 8 x 3 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3715 and 6868 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(29,8) = HCF(95,29) = HCF(124,95) = HCF(219,124) = HCF(343,219) = HCF(562,343) = HCF(3153,562) = HCF(3715,3153) = HCF(6868,3715) .

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Frequently Asked Questions on HCF of 3715, 6868 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 3715, 6868?

Answer: HCF of 3715, 6868 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3715, 6868 using Euclid's Algorithm?

Answer: For arbitrary numbers 3715, 6868 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.