Highest Common Factor of 977, 607, 726 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 977, 607, 726 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 977, 607, 726 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 977, 607, 726 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 977, 607, 726 is 1.

HCF(977, 607, 726) = 1

HCF of 977, 607, 726 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 977, 607, 726 is 1.

Highest Common Factor of 977,607,726 using Euclid's algorithm

Highest Common Factor of 977,607,726 is 1

Step 1: Since 977 > 607, we apply the division lemma to 977 and 607, to get

977 = 607 x 1 + 370

Step 2: Since the reminder 607 ≠ 0, we apply division lemma to 370 and 607, to get

607 = 370 x 1 + 237

Step 3: We consider the new divisor 370 and the new remainder 237, and apply the division lemma to get

370 = 237 x 1 + 133

We consider the new divisor 237 and the new remainder 133,and apply the division lemma to get

237 = 133 x 1 + 104

We consider the new divisor 133 and the new remainder 104,and apply the division lemma to get

133 = 104 x 1 + 29

We consider the new divisor 104 and the new remainder 29,and apply the division lemma to get

104 = 29 x 3 + 17

We consider the new divisor 29 and the new remainder 17,and apply the division lemma to get

29 = 17 x 1 + 12

We consider the new divisor 17 and the new remainder 12,and apply the division lemma to get

17 = 12 x 1 + 5

We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get

12 = 5 x 2 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 977 and 607 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(17,12) = HCF(29,17) = HCF(104,29) = HCF(133,104) = HCF(237,133) = HCF(370,237) = HCF(607,370) = HCF(977,607) .

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

Step 1: Since 726 > 1, we apply the division lemma to 726 and 1, to get

726 = 1 x 726 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 726 is 1

Notice that 1 = HCF(726,1) .

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Frequently Asked Questions on HCF of 977, 607, 726 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 977, 607, 726?

Answer: HCF of 977, 607, 726 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 977, 607, 726 using Euclid's Algorithm?

Answer: For arbitrary numbers 977, 607, 726 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.