Highest Common Factor of 2695, 4441 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 2695, 4441 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2695, 4441 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 2695, 4441 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 2695, 4441 is 1.

HCF(2695, 4441) = 1

HCF of 2695, 4441 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 2695, 4441 is 1.

Highest Common Factor of 2695,4441 using Euclid's algorithm

Highest Common Factor of 2695,4441 is 1

Step 1: Since 4441 > 2695, we apply the division lemma to 4441 and 2695, to get

4441 = 2695 x 1 + 1746

Step 2: Since the reminder 2695 ≠ 0, we apply division lemma to 1746 and 2695, to get

2695 = 1746 x 1 + 949

Step 3: We consider the new divisor 1746 and the new remainder 949, and apply the division lemma to get

1746 = 949 x 1 + 797

We consider the new divisor 949 and the new remainder 797,and apply the division lemma to get

949 = 797 x 1 + 152

We consider the new divisor 797 and the new remainder 152,and apply the division lemma to get

797 = 152 x 5 + 37

We consider the new divisor 152 and the new remainder 37,and apply the division lemma to get

152 = 37 x 4 + 4

We consider the new divisor 37 and the new remainder 4,and apply the division lemma to get

37 = 4 x 9 + 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 2695 and 4441 is 1

Notice that 1 = HCF(4,1) = HCF(37,4) = HCF(152,37) = HCF(797,152) = HCF(949,797) = HCF(1746,949) = HCF(2695,1746) = HCF(4441,2695) .

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Frequently Asked Questions on HCF of 2695, 4441 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 2695, 4441?

Answer: HCF of 2695, 4441 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2695, 4441 using Euclid's Algorithm?

Answer: For arbitrary numbers 2695, 4441 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.