Highest Common Factor of 660, 887, 261 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 660, 887, 261 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 660, 887, 261 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 660, 887, 261 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 660, 887, 261 is 1.

HCF(660, 887, 261) = 1

HCF of 660, 887, 261 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 660, 887, 261 is 1.

Highest Common Factor of 660,887,261 using Euclid's algorithm

Highest Common Factor of 660,887,261 is 1

Step 1: Since 887 > 660, we apply the division lemma to 887 and 660, to get

887 = 660 x 1 + 227

Step 2: Since the reminder 660 ≠ 0, we apply division lemma to 227 and 660, to get

660 = 227 x 2 + 206

Step 3: We consider the new divisor 227 and the new remainder 206, and apply the division lemma to get

227 = 206 x 1 + 21

We consider the new divisor 206 and the new remainder 21,and apply the division lemma to get

206 = 21 x 9 + 17

We consider the new divisor 21 and the new remainder 17,and apply the division lemma to get

21 = 17 x 1 + 4

We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get

17 = 4 x 4 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 660 and 887 is 1

Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(21,17) = HCF(206,21) = HCF(227,206) = HCF(660,227) = HCF(887,660) .

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

Step 1: Since 261 > 1, we apply the division lemma to 261 and 1, to get

261 = 1 x 261 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 261 is 1

Notice that 1 = HCF(261,1) .

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Frequently Asked Questions on HCF of 660, 887, 261 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 660, 887, 261?

Answer: HCF of 660, 887, 261 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 660, 887, 261 using Euclid's Algorithm?

Answer: For arbitrary numbers 660, 887, 261 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.