Highest Common Factor of 8495, 3688 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 8495, 3688 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8495, 3688 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 8495, 3688 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 8495, 3688 is 1.

HCF(8495, 3688) = 1

HCF of 8495, 3688 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 8495, 3688 is 1.

Highest Common Factor of 8495,3688 using Euclid's algorithm

Highest Common Factor of 8495,3688 is 1

Step 1: Since 8495 > 3688, we apply the division lemma to 8495 and 3688, to get

8495 = 3688 x 2 + 1119

Step 2: Since the reminder 3688 ≠ 0, we apply division lemma to 1119 and 3688, to get

3688 = 1119 x 3 + 331

Step 3: We consider the new divisor 1119 and the new remainder 331, and apply the division lemma to get

1119 = 331 x 3 + 126

We consider the new divisor 331 and the new remainder 126,and apply the division lemma to get

331 = 126 x 2 + 79

We consider the new divisor 126 and the new remainder 79,and apply the division lemma to get

126 = 79 x 1 + 47

We consider the new divisor 79 and the new remainder 47,and apply the division lemma to get

79 = 47 x 1 + 32

We consider the new divisor 47 and the new remainder 32,and apply the division lemma to get

47 = 32 x 1 + 15

We consider the new divisor 32 and the new remainder 15,and apply the division lemma to get

32 = 15 x 2 + 2

We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get

15 = 2 x 7 + 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 8495 and 3688 is 1

Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(32,15) = HCF(47,32) = HCF(79,47) = HCF(126,79) = HCF(331,126) = HCF(1119,331) = HCF(3688,1119) = HCF(8495,3688) .

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Frequently Asked Questions on HCF of 8495, 3688 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 8495, 3688?

Answer: HCF of 8495, 3688 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8495, 3688 using Euclid's Algorithm?

Answer: For arbitrary numbers 8495, 3688 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.