Highest Common Factor of 4873, 425 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 4873, 425 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4873, 425 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 4873, 425 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 4873, 425 is 1.

HCF(4873, 425) = 1

HCF of 4873, 425 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 4873, 425 is 1.

Highest Common Factor of 4873,425 using Euclid's algorithm

Highest Common Factor of 4873,425 is 1

Step 1: Since 4873 > 425, we apply the division lemma to 4873 and 425, to get

4873 = 425 x 11 + 198

Step 2: Since the reminder 425 ≠ 0, we apply division lemma to 198 and 425, to get

425 = 198 x 2 + 29

Step 3: We consider the new divisor 198 and the new remainder 29, and apply the division lemma to get

198 = 29 x 6 + 24

We consider the new divisor 29 and the new remainder 24,and apply the division lemma to get

29 = 24 x 1 + 5

We consider the new divisor 24 and the new remainder 5,and apply the division lemma to get

24 = 5 x 4 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4873 and 425 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(24,5) = HCF(29,24) = HCF(198,29) = HCF(425,198) = HCF(4873,425) .

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Frequently Asked Questions on HCF of 4873, 425 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 4873, 425?

Answer: HCF of 4873, 425 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4873, 425 using Euclid's Algorithm?

Answer: For arbitrary numbers 4873, 425 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.