Highest Common Factor of 1265, 2736, 95655 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 1265, 2736, 95655 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1265, 2736, 95655 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 1265, 2736, 95655 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 1265, 2736, 95655 is 1.

HCF(1265, 2736, 95655) = 1

HCF of 1265, 2736, 95655 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 1265, 2736, 95655 is 1.

Highest Common Factor of 1265,2736,95655 using Euclid's algorithm

Highest Common Factor of 1265,2736,95655 is 1

Step 1: Since 2736 > 1265, we apply the division lemma to 2736 and 1265, to get

2736 = 1265 x 2 + 206

Step 2: Since the reminder 1265 ≠ 0, we apply division lemma to 206 and 1265, to get

1265 = 206 x 6 + 29

Step 3: We consider the new divisor 206 and the new remainder 29, and apply the division lemma to get

206 = 29 x 7 + 3

We consider the new divisor 29 and the new remainder 3,and apply the division lemma to get

29 = 3 x 9 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1265 and 2736 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(29,3) = HCF(206,29) = HCF(1265,206) = HCF(2736,1265) .

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

Step 1: Since 95655 > 1, we apply the division lemma to 95655 and 1, to get

95655 = 1 x 95655 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 95655 is 1

Notice that 1 = HCF(95655,1) .

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Frequently Asked Questions on HCF of 1265, 2736, 95655 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 1265, 2736, 95655?

Answer: HCF of 1265, 2736, 95655 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1265, 2736, 95655 using Euclid's Algorithm?

Answer: For arbitrary numbers 1265, 2736, 95655 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.