Highest Common Factor of 2668, 3787 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 2668, 3787 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2668, 3787 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 2668, 3787 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 2668, 3787 is 1.

HCF(2668, 3787) = 1

HCF of 2668, 3787 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 2668, 3787 is 1.

Highest Common Factor of 2668,3787 using Euclid's algorithm

Highest Common Factor of 2668,3787 is 1

Step 1: Since 3787 > 2668, we apply the division lemma to 3787 and 2668, to get

3787 = 2668 x 1 + 1119

Step 2: Since the reminder 2668 ≠ 0, we apply division lemma to 1119 and 2668, to get

2668 = 1119 x 2 + 430

Step 3: We consider the new divisor 1119 and the new remainder 430, and apply the division lemma to get

1119 = 430 x 2 + 259

We consider the new divisor 430 and the new remainder 259,and apply the division lemma to get

430 = 259 x 1 + 171

We consider the new divisor 259 and the new remainder 171,and apply the division lemma to get

259 = 171 x 1 + 88

We consider the new divisor 171 and the new remainder 88,and apply the division lemma to get

171 = 88 x 1 + 83

We consider the new divisor 88 and the new remainder 83,and apply the division lemma to get

88 = 83 x 1 + 5

We consider the new divisor 83 and the new remainder 5,and apply the division lemma to get

83 = 5 x 16 + 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 2668 and 3787 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(83,5) = HCF(88,83) = HCF(171,88) = HCF(259,171) = HCF(430,259) = HCF(1119,430) = HCF(2668,1119) = HCF(3787,2668) .

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Frequently Asked Questions on HCF of 2668, 3787 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 2668, 3787?

Answer: HCF of 2668, 3787 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2668, 3787 using Euclid's Algorithm?

Answer: For arbitrary numbers 2668, 3787 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.