Highest Common Factor of 976, 6583, 1267 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 976, 6583, 1267 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 976, 6583, 1267 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 976, 6583, 1267 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 976, 6583, 1267 is 1.

HCF(976, 6583, 1267) = 1

HCF of 976, 6583, 1267 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 976, 6583, 1267 is 1.

Highest Common Factor of 976,6583,1267 using Euclid's algorithm

Highest Common Factor of 976,6583,1267 is 1

Step 1: Since 6583 > 976, we apply the division lemma to 6583 and 976, to get

6583 = 976 x 6 + 727

Step 2: Since the reminder 976 ≠ 0, we apply division lemma to 727 and 976, to get

976 = 727 x 1 + 249

Step 3: We consider the new divisor 727 and the new remainder 249, and apply the division lemma to get

727 = 249 x 2 + 229

We consider the new divisor 249 and the new remainder 229,and apply the division lemma to get

249 = 229 x 1 + 20

We consider the new divisor 229 and the new remainder 20,and apply the division lemma to get

229 = 20 x 11 + 9

We consider the new divisor 20 and the new remainder 9,and apply the division lemma to get

20 = 9 x 2 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 976 and 6583 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(20,9) = HCF(229,20) = HCF(249,229) = HCF(727,249) = HCF(976,727) = HCF(6583,976) .

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

Step 1: Since 1267 > 1, we apply the division lemma to 1267 and 1, to get

1267 = 1 x 1267 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 1267 is 1

Notice that 1 = HCF(1267,1) .

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Frequently Asked Questions on HCF of 976, 6583, 1267 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 976, 6583, 1267?

Answer: HCF of 976, 6583, 1267 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 976, 6583, 1267 using Euclid's Algorithm?

Answer: For arbitrary numbers 976, 6583, 1267 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.