Highest Common Factor of 3907, 2629, 18478 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 3907, 2629, 18478 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3907, 2629, 18478 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 3907, 2629, 18478 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 3907, 2629, 18478 is 1.

HCF(3907, 2629, 18478) = 1

HCF of 3907, 2629, 18478 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 3907, 2629, 18478 is 1.

Highest Common Factor of 3907,2629,18478 using Euclid's algorithm

Highest Common Factor of 3907,2629,18478 is 1

Step 1: Since 3907 > 2629, we apply the division lemma to 3907 and 2629, to get

3907 = 2629 x 1 + 1278

Step 2: Since the reminder 2629 ≠ 0, we apply division lemma to 1278 and 2629, to get

2629 = 1278 x 2 + 73

Step 3: We consider the new divisor 1278 and the new remainder 73, and apply the division lemma to get

1278 = 73 x 17 + 37

We consider the new divisor 73 and the new remainder 37,and apply the division lemma to get

73 = 37 x 1 + 36

We consider the new divisor 37 and the new remainder 36,and apply the division lemma to get

37 = 36 x 1 + 1

We consider the new divisor 36 and the new remainder 1,and apply the division lemma to get

36 = 1 x 36 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3907 and 2629 is 1

Notice that 1 = HCF(36,1) = HCF(37,36) = HCF(73,37) = HCF(1278,73) = HCF(2629,1278) = HCF(3907,2629) .

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

Step 1: Since 18478 > 1, we apply the division lemma to 18478 and 1, to get

18478 = 1 x 18478 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 18478 is 1

Notice that 1 = HCF(18478,1) .

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Frequently Asked Questions on HCF of 3907, 2629, 18478 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 3907, 2629, 18478?

Answer: HCF of 3907, 2629, 18478 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3907, 2629, 18478 using Euclid's Algorithm?

Answer: For arbitrary numbers 3907, 2629, 18478 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.