Highest Common Factor of 465, 756, 881 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 465, 756, 881 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 465, 756, 881 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 465, 756, 881 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 465, 756, 881 is 1.

HCF(465, 756, 881) = 1

HCF of 465, 756, 881 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 465, 756, 881 is 1.

Highest Common Factor of 465,756,881 using Euclid's algorithm

Highest Common Factor of 465,756,881 is 1

Step 1: Since 756 > 465, we apply the division lemma to 756 and 465, to get

756 = 465 x 1 + 291

Step 2: Since the reminder 465 ≠ 0, we apply division lemma to 291 and 465, to get

465 = 291 x 1 + 174

Step 3: We consider the new divisor 291 and the new remainder 174, and apply the division lemma to get

291 = 174 x 1 + 117

We consider the new divisor 174 and the new remainder 117,and apply the division lemma to get

174 = 117 x 1 + 57

We consider the new divisor 117 and the new remainder 57,and apply the division lemma to get

117 = 57 x 2 + 3

We consider the new divisor 57 and the new remainder 3,and apply the division lemma to get

57 = 3 x 19 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 465 and 756 is 3

Notice that 3 = HCF(57,3) = HCF(117,57) = HCF(174,117) = HCF(291,174) = HCF(465,291) = HCF(756,465) .

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

Step 1: Since 881 > 3, we apply the division lemma to 881 and 3, to get

881 = 3 x 293 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 1

Step 3: 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 3 and 881 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(881,3) .

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Frequently Asked Questions on HCF of 465, 756, 881 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 465, 756, 881?

Answer: HCF of 465, 756, 881 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 465, 756, 881 using Euclid's Algorithm?

Answer: For arbitrary numbers 465, 756, 881 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.