Highest Common Factor of 4689, 7744 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 4689, 7744 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4689, 7744 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 4689, 7744 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 4689, 7744 is 1.

HCF(4689, 7744) = 1

HCF of 4689, 7744 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 4689, 7744 is 1.

Highest Common Factor of 4689,7744 using Euclid's algorithm

Highest Common Factor of 4689,7744 is 1

Step 1: Since 7744 > 4689, we apply the division lemma to 7744 and 4689, to get

7744 = 4689 x 1 + 3055

Step 2: Since the reminder 4689 ≠ 0, we apply division lemma to 3055 and 4689, to get

4689 = 3055 x 1 + 1634

Step 3: We consider the new divisor 3055 and the new remainder 1634, and apply the division lemma to get

3055 = 1634 x 1 + 1421

We consider the new divisor 1634 and the new remainder 1421,and apply the division lemma to get

1634 = 1421 x 1 + 213

We consider the new divisor 1421 and the new remainder 213,and apply the division lemma to get

1421 = 213 x 6 + 143

We consider the new divisor 213 and the new remainder 143,and apply the division lemma to get

213 = 143 x 1 + 70

We consider the new divisor 143 and the new remainder 70,and apply the division lemma to get

143 = 70 x 2 + 3

We consider the new divisor 70 and the new remainder 3,and apply the division lemma to get

70 = 3 x 23 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4689 and 7744 is 1

Notice that 1 = HCF(3,1) = HCF(70,3) = HCF(143,70) = HCF(213,143) = HCF(1421,213) = HCF(1634,1421) = HCF(3055,1634) = HCF(4689,3055) = HCF(7744,4689) .

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Frequently Asked Questions on HCF of 4689, 7744 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 4689, 7744?

Answer: HCF of 4689, 7744 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4689, 7744 using Euclid's Algorithm?

Answer: For arbitrary numbers 4689, 7744 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.