Highest Common Factor of 661, 887, 731 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 661, 887, 731 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 661, 887, 731 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 661, 887, 731 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 661, 887, 731 is 1.

HCF(661, 887, 731) = 1

HCF of 661, 887, 731 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 661, 887, 731 is 1.

Highest Common Factor of 661,887,731 using Euclid's algorithm

Highest Common Factor of 661,887,731 is 1

Step 1: Since 887 > 661, we apply the division lemma to 887 and 661, to get

887 = 661 x 1 + 226

Step 2: Since the reminder 661 ≠ 0, we apply division lemma to 226 and 661, to get

661 = 226 x 2 + 209

Step 3: We consider the new divisor 226 and the new remainder 209, and apply the division lemma to get

226 = 209 x 1 + 17

We consider the new divisor 209 and the new remainder 17,and apply the division lemma to get

209 = 17 x 12 + 5

We consider the new divisor 17 and the new remainder 5,and apply the division lemma to get

17 = 5 x 3 + 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 661 and 887 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(17,5) = HCF(209,17) = HCF(226,209) = HCF(661,226) = HCF(887,661) .

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

Step 1: Since 731 > 1, we apply the division lemma to 731 and 1, to get

731 = 1 x 731 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 731 is 1

Notice that 1 = HCF(731,1) .

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Frequently Asked Questions on HCF of 661, 887, 731 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 661, 887, 731?

Answer: HCF of 661, 887, 731 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 661, 887, 731 using Euclid's Algorithm?

Answer: For arbitrary numbers 661, 887, 731 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.