Highest Common Factor of 792, 711, 758 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 792, 711, 758 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 792, 711, 758 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 792, 711, 758 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 792, 711, 758 is 1.

HCF(792, 711, 758) = 1

HCF of 792, 711, 758 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 792, 711, 758 is 1.

Highest Common Factor of 792,711,758 using Euclid's algorithm

Highest Common Factor of 792,711,758 is 1

Step 1: Since 792 > 711, we apply the division lemma to 792 and 711, to get

792 = 711 x 1 + 81

Step 2: Since the reminder 711 ≠ 0, we apply division lemma to 81 and 711, to get

711 = 81 x 8 + 63

Step 3: We consider the new divisor 81 and the new remainder 63, and apply the division lemma to get

81 = 63 x 1 + 18

We consider the new divisor 63 and the new remainder 18,and apply the division lemma to get

63 = 18 x 3 + 9

We consider the new divisor 18 and the new remainder 9,and apply the division lemma to get

18 = 9 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 792 and 711 is 9

Notice that 9 = HCF(18,9) = HCF(63,18) = HCF(81,63) = HCF(711,81) = HCF(792,711) .

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

Step 1: Since 758 > 9, we apply the division lemma to 758 and 9, to get

758 = 9 x 84 + 2

Step 2: Since the reminder 9 ≠ 0, we apply division lemma to 2 and 9, to get

9 = 2 x 4 + 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 9 and 758 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(758,9) .

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Frequently Asked Questions on HCF of 792, 711, 758 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 792, 711, 758?

Answer: HCF of 792, 711, 758 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 792, 711, 758 using Euclid's Algorithm?

Answer: For arbitrary numbers 792, 711, 758 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.