Highest Common Factor of 877, 641 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 877, 641 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 877, 641 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 877, 641 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 877, 641 is 1.

HCF(877, 641) = 1

HCF of 877, 641 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 877, 641 is 1.

Highest Common Factor of 877,641 using Euclid's algorithm

Highest Common Factor of 877,641 is 1

Step 1: Since 877 > 641, we apply the division lemma to 877 and 641, to get

877 = 641 x 1 + 236

Step 2: Since the reminder 641 ≠ 0, we apply division lemma to 236 and 641, to get

641 = 236 x 2 + 169

Step 3: We consider the new divisor 236 and the new remainder 169, and apply the division lemma to get

236 = 169 x 1 + 67

We consider the new divisor 169 and the new remainder 67,and apply the division lemma to get

169 = 67 x 2 + 35

We consider the new divisor 67 and the new remainder 35,and apply the division lemma to get

67 = 35 x 1 + 32

We consider the new divisor 35 and the new remainder 32,and apply the division lemma to get

35 = 32 x 1 + 3

We consider the new divisor 32 and the new remainder 3,and apply the division lemma to get

32 = 3 x 10 + 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 877 and 641 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(32,3) = HCF(35,32) = HCF(67,35) = HCF(169,67) = HCF(236,169) = HCF(641,236) = HCF(877,641) .

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Frequently Asked Questions on HCF of 877, 641 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 877, 641?

Answer: HCF of 877, 641 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 877, 641 using Euclid's Algorithm?

Answer: For arbitrary numbers 877, 641 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.