Highest Common Factor of 4668, 2587, 26140 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 4668, 2587, 26140 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4668, 2587, 26140 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 4668, 2587, 26140 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 4668, 2587, 26140 is 1.

HCF(4668, 2587, 26140) = 1

HCF of 4668, 2587, 26140 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 4668, 2587, 26140 is 1.

Highest Common Factor of 4668,2587,26140 using Euclid's algorithm

Highest Common Factor of 4668,2587,26140 is 1

Step 1: Since 4668 > 2587, we apply the division lemma to 4668 and 2587, to get

4668 = 2587 x 1 + 2081

Step 2: Since the reminder 2587 ≠ 0, we apply division lemma to 2081 and 2587, to get

2587 = 2081 x 1 + 506

Step 3: We consider the new divisor 2081 and the new remainder 506, and apply the division lemma to get

2081 = 506 x 4 + 57

We consider the new divisor 506 and the new remainder 57,and apply the division lemma to get

506 = 57 x 8 + 50

We consider the new divisor 57 and the new remainder 50,and apply the division lemma to get

57 = 50 x 1 + 7

We consider the new divisor 50 and the new remainder 7,and apply the division lemma to get

50 = 7 x 7 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4668 and 2587 is 1

Notice that 1 = HCF(7,1) = HCF(50,7) = HCF(57,50) = HCF(506,57) = HCF(2081,506) = HCF(2587,2081) = HCF(4668,2587) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 26140 > 1, we apply the division lemma to 26140 and 1, to get

26140 = 1 x 26140 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 26140 is 1

Notice that 1 = HCF(26140,1) .

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Frequently Asked Questions on HCF of 4668, 2587, 26140 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 4668, 2587, 26140?

Answer: HCF of 4668, 2587, 26140 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4668, 2587, 26140 using Euclid's Algorithm?

Answer: For arbitrary numbers 4668, 2587, 26140 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.