Highest Common Factor of 676, 797, 905 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 676, 797, 905 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 676, 797, 905 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 676, 797, 905 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 676, 797, 905 is 1.

HCF(676, 797, 905) = 1

HCF of 676, 797, 905 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 676, 797, 905 is 1.

Highest Common Factor of 676,797,905 using Euclid's algorithm

Highest Common Factor of 676,797,905 is 1

Step 1: Since 797 > 676, we apply the division lemma to 797 and 676, to get

797 = 676 x 1 + 121

Step 2: Since the reminder 676 ≠ 0, we apply division lemma to 121 and 676, to get

676 = 121 x 5 + 71

Step 3: We consider the new divisor 121 and the new remainder 71, and apply the division lemma to get

121 = 71 x 1 + 50

We consider the new divisor 71 and the new remainder 50,and apply the division lemma to get

71 = 50 x 1 + 21

We consider the new divisor 50 and the new remainder 21,and apply the division lemma to get

50 = 21 x 2 + 8

We consider the new divisor 21 and the new remainder 8,and apply the division lemma to get

21 = 8 x 2 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 676 and 797 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(21,8) = HCF(50,21) = HCF(71,50) = HCF(121,71) = HCF(676,121) = HCF(797,676) .

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

Step 1: Since 905 > 1, we apply the division lemma to 905 and 1, to get

905 = 1 x 905 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 905 is 1

Notice that 1 = HCF(905,1) .

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Frequently Asked Questions on HCF of 676, 797, 905 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 676, 797, 905?

Answer: HCF of 676, 797, 905 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 676, 797, 905 using Euclid's Algorithm?

Answer: For arbitrary numbers 676, 797, 905 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.