Highest Common Factor of 2623, 6944 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 2623, 6944 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2623, 6944 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 2623, 6944 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 2623, 6944 is 1.

HCF(2623, 6944) = 1

HCF of 2623, 6944 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 2623, 6944 is 1.

Highest Common Factor of 2623,6944 using Euclid's algorithm

Highest Common Factor of 2623,6944 is 1

Step 1: Since 6944 > 2623, we apply the division lemma to 6944 and 2623, to get

6944 = 2623 x 2 + 1698

Step 2: Since the reminder 2623 ≠ 0, we apply division lemma to 1698 and 2623, to get

2623 = 1698 x 1 + 925

Step 3: We consider the new divisor 1698 and the new remainder 925, and apply the division lemma to get

1698 = 925 x 1 + 773

We consider the new divisor 925 and the new remainder 773,and apply the division lemma to get

925 = 773 x 1 + 152

We consider the new divisor 773 and the new remainder 152,and apply the division lemma to get

773 = 152 x 5 + 13

We consider the new divisor 152 and the new remainder 13,and apply the division lemma to get

152 = 13 x 11 + 9

We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get

13 = 9 x 1 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 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 2623 and 6944 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(152,13) = HCF(773,152) = HCF(925,773) = HCF(1698,925) = HCF(2623,1698) = HCF(6944,2623) .

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Frequently Asked Questions on HCF of 2623, 6944 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 2623, 6944?

Answer: HCF of 2623, 6944 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2623, 6944 using Euclid's Algorithm?

Answer: For arbitrary numbers 2623, 6944 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.