Highest Common Factor of 3987, 3695 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 3987, 3695 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3987, 3695 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 3987, 3695 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 3987, 3695 is 1.

HCF(3987, 3695) = 1

HCF of 3987, 3695 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 3987, 3695 is 1.

Highest Common Factor of 3987,3695 using Euclid's algorithm

Highest Common Factor of 3987,3695 is 1

Step 1: Since 3987 > 3695, we apply the division lemma to 3987 and 3695, to get

3987 = 3695 x 1 + 292

Step 2: Since the reminder 3695 ≠ 0, we apply division lemma to 292 and 3695, to get

3695 = 292 x 12 + 191

Step 3: We consider the new divisor 292 and the new remainder 191, and apply the division lemma to get

292 = 191 x 1 + 101

We consider the new divisor 191 and the new remainder 101,and apply the division lemma to get

191 = 101 x 1 + 90

We consider the new divisor 101 and the new remainder 90,and apply the division lemma to get

101 = 90 x 1 + 11

We consider the new divisor 90 and the new remainder 11,and apply the division lemma to get

90 = 11 x 8 + 2

We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get

11 = 2 x 5 + 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 3987 and 3695 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(90,11) = HCF(101,90) = HCF(191,101) = HCF(292,191) = HCF(3695,292) = HCF(3987,3695) .

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Frequently Asked Questions on HCF of 3987, 3695 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 3987, 3695?

Answer: HCF of 3987, 3695 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3987, 3695 using Euclid's Algorithm?

Answer: For arbitrary numbers 3987, 3695 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.