Highest Common Factor of 765, 471, 959 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 765, 471, 959 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 765, 471, 959 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 765, 471, 959 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 765, 471, 959 is 1.

HCF(765, 471, 959) = 1

HCF of 765, 471, 959 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 765, 471, 959 is 1.

Highest Common Factor of 765,471,959 using Euclid's algorithm

Highest Common Factor of 765,471,959 is 1

Step 1: Since 765 > 471, we apply the division lemma to 765 and 471, to get

765 = 471 x 1 + 294

Step 2: Since the reminder 471 ≠ 0, we apply division lemma to 294 and 471, to get

471 = 294 x 1 + 177

Step 3: We consider the new divisor 294 and the new remainder 177, and apply the division lemma to get

294 = 177 x 1 + 117

We consider the new divisor 177 and the new remainder 117,and apply the division lemma to get

177 = 117 x 1 + 60

We consider the new divisor 117 and the new remainder 60,and apply the division lemma to get

117 = 60 x 1 + 57

We consider the new divisor 60 and the new remainder 57,and apply the division lemma to get

60 = 57 x 1 + 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 765 and 471 is 3

Notice that 3 = HCF(57,3) = HCF(60,57) = HCF(117,60) = HCF(177,117) = HCF(294,177) = HCF(471,294) = HCF(765,471) .

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

Step 1: Since 959 > 3, we apply the division lemma to 959 and 3, to get

959 = 3 x 319 + 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 959 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(959,3) .

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Frequently Asked Questions on HCF of 765, 471, 959 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 765, 471, 959?

Answer: HCF of 765, 471, 959 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 765, 471, 959 using Euclid's Algorithm?

Answer: For arbitrary numbers 765, 471, 959 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.