Highest Common Factor of 4107, 7630, 13934 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 4107, 7630, 13934 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4107, 7630, 13934 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 4107, 7630, 13934 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 4107, 7630, 13934 is 1.

HCF(4107, 7630, 13934) = 1

HCF of 4107, 7630, 13934 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 4107, 7630, 13934 is 1.

Highest Common Factor of 4107,7630,13934 using Euclid's algorithm

Highest Common Factor of 4107,7630,13934 is 1

Step 1: Since 7630 > 4107, we apply the division lemma to 7630 and 4107, to get

7630 = 4107 x 1 + 3523

Step 2: Since the reminder 4107 ≠ 0, we apply division lemma to 3523 and 4107, to get

4107 = 3523 x 1 + 584

Step 3: We consider the new divisor 3523 and the new remainder 584, and apply the division lemma to get

3523 = 584 x 6 + 19

We consider the new divisor 584 and the new remainder 19,and apply the division lemma to get

584 = 19 x 30 + 14

We consider the new divisor 19 and the new remainder 14,and apply the division lemma to get

19 = 14 x 1 + 5

We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get

14 = 5 x 2 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4107 and 7630 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(19,14) = HCF(584,19) = HCF(3523,584) = HCF(4107,3523) = HCF(7630,4107) .

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

Step 1: Since 13934 > 1, we apply the division lemma to 13934 and 1, to get

13934 = 1 x 13934 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 13934 is 1

Notice that 1 = HCF(13934,1) .

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Frequently Asked Questions on HCF of 4107, 7630, 13934 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 4107, 7630, 13934?

Answer: HCF of 4107, 7630, 13934 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4107, 7630, 13934 using Euclid's Algorithm?

Answer: For arbitrary numbers 4107, 7630, 13934 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.