Highest Common Factor of 8828, 6373 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 8828, 6373 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8828, 6373 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 8828, 6373 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 8828, 6373 is 1.

HCF(8828, 6373) = 1

HCF of 8828, 6373 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 8828, 6373 is 1.

Highest Common Factor of 8828,6373 using Euclid's algorithm

Highest Common Factor of 8828,6373 is 1

Step 1: Since 8828 > 6373, we apply the division lemma to 8828 and 6373, to get

8828 = 6373 x 1 + 2455

Step 2: Since the reminder 6373 ≠ 0, we apply division lemma to 2455 and 6373, to get

6373 = 2455 x 2 + 1463

Step 3: We consider the new divisor 2455 and the new remainder 1463, and apply the division lemma to get

2455 = 1463 x 1 + 992

We consider the new divisor 1463 and the new remainder 992,and apply the division lemma to get

1463 = 992 x 1 + 471

We consider the new divisor 992 and the new remainder 471,and apply the division lemma to get

992 = 471 x 2 + 50

We consider the new divisor 471 and the new remainder 50,and apply the division lemma to get

471 = 50 x 9 + 21

We consider the new divisor 50 and the new remainder 21,and apply the division lemma to get

50 = 21 x 2 + 8

We consider the new divisor 21 and the new remainder 8,and apply the division lemma to get

21 = 8 x 2 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 8828 and 6373 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(21,8) = HCF(50,21) = HCF(471,50) = HCF(992,471) = HCF(1463,992) = HCF(2455,1463) = HCF(6373,2455) = HCF(8828,6373) .

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Frequently Asked Questions on HCF of 8828, 6373 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 8828, 6373?

Answer: HCF of 8828, 6373 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8828, 6373 using Euclid's Algorithm?

Answer: For arbitrary numbers 8828, 6373 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.