Highest Common Factor of 756, 958, 61 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 756, 958, 61 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 756, 958, 61 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 756, 958, 61 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 756, 958, 61 is 1.

HCF(756, 958, 61) = 1

HCF of 756, 958, 61 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 756, 958, 61 is 1.

Highest Common Factor of 756,958,61 using Euclid's algorithm

Highest Common Factor of 756,958,61 is 1

Step 1: Since 958 > 756, we apply the division lemma to 958 and 756, to get

958 = 756 x 1 + 202

Step 2: Since the reminder 756 ≠ 0, we apply division lemma to 202 and 756, to get

756 = 202 x 3 + 150

Step 3: We consider the new divisor 202 and the new remainder 150, and apply the division lemma to get

202 = 150 x 1 + 52

We consider the new divisor 150 and the new remainder 52,and apply the division lemma to get

150 = 52 x 2 + 46

We consider the new divisor 52 and the new remainder 46,and apply the division lemma to get

52 = 46 x 1 + 6

We consider the new divisor 46 and the new remainder 6,and apply the division lemma to get

46 = 6 x 7 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 756 and 958 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(46,6) = HCF(52,46) = HCF(150,52) = HCF(202,150) = HCF(756,202) = HCF(958,756) .

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

Step 1: Since 61 > 2, we apply the division lemma to 61 and 2, to get

61 = 2 x 30 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 61 is 1

Notice that 1 = HCF(2,1) = HCF(61,2) .

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Frequently Asked Questions on HCF of 756, 958, 61 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 756, 958, 61?

Answer: HCF of 756, 958, 61 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 756, 958, 61 using Euclid's Algorithm?

Answer: For arbitrary numbers 756, 958, 61 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.