Highest Common Factor of 877, 4001, 8063 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, 4001, 8063 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 877, 4001, 8063 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, 4001, 8063 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, 4001, 8063 is 1.

HCF(877, 4001, 8063) = 1

HCF of 877, 4001, 8063 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, 4001, 8063 is 1.

Highest Common Factor of 877,4001,8063 using Euclid's algorithm

Highest Common Factor of 877,4001,8063 is 1

Step 1: Since 4001 > 877, we apply the division lemma to 4001 and 877, to get

4001 = 877 x 4 + 493

Step 2: Since the reminder 877 ≠ 0, we apply division lemma to 493 and 877, to get

877 = 493 x 1 + 384

Step 3: We consider the new divisor 493 and the new remainder 384, and apply the division lemma to get

493 = 384 x 1 + 109

We consider the new divisor 384 and the new remainder 109,and apply the division lemma to get

384 = 109 x 3 + 57

We consider the new divisor 109 and the new remainder 57,and apply the division lemma to get

109 = 57 x 1 + 52

We consider the new divisor 57 and the new remainder 52,and apply the division lemma to get

57 = 52 x 1 + 5

We consider the new divisor 52 and the new remainder 5,and apply the division lemma to get

52 = 5 x 10 + 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 877 and 4001 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(52,5) = HCF(57,52) = HCF(109,57) = HCF(384,109) = HCF(493,384) = HCF(877,493) = HCF(4001,877) .

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

Step 1: Since 8063 > 1, we apply the division lemma to 8063 and 1, to get

8063 = 1 x 8063 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 8063 is 1

Notice that 1 = HCF(8063,1) .

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Frequently Asked Questions on HCF of 877, 4001, 8063 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, 4001, 8063?

Answer: HCF of 877, 4001, 8063 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 877, 4001, 8063 using Euclid's Algorithm?

Answer: For arbitrary numbers 877, 4001, 8063 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.