Highest Common Factor of 776, 7617, 7791 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 776, 7617, 7791 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 776, 7617, 7791 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 776, 7617, 7791 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 776, 7617, 7791 is 1.

HCF(776, 7617, 7791) = 1

HCF of 776, 7617, 7791 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 776, 7617, 7791 is 1.

Highest Common Factor of 776,7617,7791 using Euclid's algorithm

Highest Common Factor of 776,7617,7791 is 1

Step 1: Since 7617 > 776, we apply the division lemma to 7617 and 776, to get

7617 = 776 x 9 + 633

Step 2: Since the reminder 776 ≠ 0, we apply division lemma to 633 and 776, to get

776 = 633 x 1 + 143

Step 3: We consider the new divisor 633 and the new remainder 143, and apply the division lemma to get

633 = 143 x 4 + 61

We consider the new divisor 143 and the new remainder 61,and apply the division lemma to get

143 = 61 x 2 + 21

We consider the new divisor 61 and the new remainder 21,and apply the division lemma to get

61 = 21 x 2 + 19

We consider the new divisor 21 and the new remainder 19,and apply the division lemma to get

21 = 19 x 1 + 2

We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get

19 = 2 x 9 + 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 776 and 7617 is 1

Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(21,19) = HCF(61,21) = HCF(143,61) = HCF(633,143) = HCF(776,633) = HCF(7617,776) .

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

Step 1: Since 7791 > 1, we apply the division lemma to 7791 and 1, to get

7791 = 1 x 7791 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 7791 is 1

Notice that 1 = HCF(7791,1) .

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Frequently Asked Questions on HCF of 776, 7617, 7791 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 776, 7617, 7791?

Answer: HCF of 776, 7617, 7791 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 776, 7617, 7791 using Euclid's Algorithm?

Answer: For arbitrary numbers 776, 7617, 7791 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.