Highest Common Factor of 2527, 661 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 2527, 661 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2527, 661 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 2527, 661 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 2527, 661 is 1.

HCF(2527, 661) = 1

HCF of 2527, 661 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 2527, 661 is 1.

Highest Common Factor of 2527,661 using Euclid's algorithm

Highest Common Factor of 2527,661 is 1

Step 1: Since 2527 > 661, we apply the division lemma to 2527 and 661, to get

2527 = 661 x 3 + 544

Step 2: Since the reminder 661 ≠ 0, we apply division lemma to 544 and 661, to get

661 = 544 x 1 + 117

Step 3: We consider the new divisor 544 and the new remainder 117, and apply the division lemma to get

544 = 117 x 4 + 76

We consider the new divisor 117 and the new remainder 76,and apply the division lemma to get

117 = 76 x 1 + 41

We consider the new divisor 76 and the new remainder 41,and apply the division lemma to get

76 = 41 x 1 + 35

We consider the new divisor 41 and the new remainder 35,and apply the division lemma to get

41 = 35 x 1 + 6

We consider the new divisor 35 and the new remainder 6,and apply the division lemma to get

35 = 6 x 5 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2527 and 661 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(35,6) = HCF(41,35) = HCF(76,41) = HCF(117,76) = HCF(544,117) = HCF(661,544) = HCF(2527,661) .

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Frequently Asked Questions on HCF of 2527, 661 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 2527, 661?

Answer: HCF of 2527, 661 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2527, 661 using Euclid's Algorithm?

Answer: For arbitrary numbers 2527, 661 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.