Highest Common Factor of 949, 2495, 7671 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 949, 2495, 7671 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 949, 2495, 7671 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 949, 2495, 7671 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 949, 2495, 7671 is 1.

HCF(949, 2495, 7671) = 1

HCF of 949, 2495, 7671 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 949, 2495, 7671 is 1.

Highest Common Factor of 949,2495,7671 using Euclid's algorithm

Highest Common Factor of 949,2495,7671 is 1

Step 1: Since 2495 > 949, we apply the division lemma to 2495 and 949, to get

2495 = 949 x 2 + 597

Step 2: Since the reminder 949 ≠ 0, we apply division lemma to 597 and 949, to get

949 = 597 x 1 + 352

Step 3: We consider the new divisor 597 and the new remainder 352, and apply the division lemma to get

597 = 352 x 1 + 245

We consider the new divisor 352 and the new remainder 245,and apply the division lemma to get

352 = 245 x 1 + 107

We consider the new divisor 245 and the new remainder 107,and apply the division lemma to get

245 = 107 x 2 + 31

We consider the new divisor 107 and the new remainder 31,and apply the division lemma to get

107 = 31 x 3 + 14

We consider the new divisor 31 and the new remainder 14,and apply the division lemma to get

31 = 14 x 2 + 3

We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get

14 = 3 x 4 + 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 949 and 2495 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(31,14) = HCF(107,31) = HCF(245,107) = HCF(352,245) = HCF(597,352) = HCF(949,597) = HCF(2495,949) .

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

Step 1: Since 7671 > 1, we apply the division lemma to 7671 and 1, to get

7671 = 1 x 7671 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 7671 is 1

Notice that 1 = HCF(7671,1) .

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Frequently Asked Questions on HCF of 949, 2495, 7671 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 949, 2495, 7671?

Answer: HCF of 949, 2495, 7671 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 949, 2495, 7671 using Euclid's Algorithm?

Answer: For arbitrary numbers 949, 2495, 7671 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.