Highest Common Factor of 701, 887, 157 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 701, 887, 157 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 701, 887, 157 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 701, 887, 157 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 701, 887, 157 is 1.

HCF(701, 887, 157) = 1

HCF of 701, 887, 157 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 701, 887, 157 is 1.

Highest Common Factor of 701,887,157 using Euclid's algorithm

Highest Common Factor of 701,887,157 is 1

Step 1: Since 887 > 701, we apply the division lemma to 887 and 701, to get

887 = 701 x 1 + 186

Step 2: Since the reminder 701 ≠ 0, we apply division lemma to 186 and 701, to get

701 = 186 x 3 + 143

Step 3: We consider the new divisor 186 and the new remainder 143, and apply the division lemma to get

186 = 143 x 1 + 43

We consider the new divisor 143 and the new remainder 43,and apply the division lemma to get

143 = 43 x 3 + 14

We consider the new divisor 43 and the new remainder 14,and apply the division lemma to get

43 = 14 x 3 + 1

We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get

14 = 1 x 14 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 701 and 887 is 1

Notice that 1 = HCF(14,1) = HCF(43,14) = HCF(143,43) = HCF(186,143) = HCF(701,186) = HCF(887,701) .

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

Step 1: Since 157 > 1, we apply the division lemma to 157 and 1, to get

157 = 1 x 157 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 157 is 1

Notice that 1 = HCF(157,1) .

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Frequently Asked Questions on HCF of 701, 887, 157 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 701, 887, 157?

Answer: HCF of 701, 887, 157 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 701, 887, 157 using Euclid's Algorithm?

Answer: For arbitrary numbers 701, 887, 157 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.