Highest Common Factor of 4055, 9628 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 4055, 9628 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4055, 9628 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 4055, 9628 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 4055, 9628 is 1.

HCF(4055, 9628) = 1

HCF of 4055, 9628 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 4055, 9628 is 1.

Highest Common Factor of 4055,9628 using Euclid's algorithm

Highest Common Factor of 4055,9628 is 1

Step 1: Since 9628 > 4055, we apply the division lemma to 9628 and 4055, to get

9628 = 4055 x 2 + 1518

Step 2: Since the reminder 4055 ≠ 0, we apply division lemma to 1518 and 4055, to get

4055 = 1518 x 2 + 1019

Step 3: We consider the new divisor 1518 and the new remainder 1019, and apply the division lemma to get

1518 = 1019 x 1 + 499

We consider the new divisor 1019 and the new remainder 499,and apply the division lemma to get

1019 = 499 x 2 + 21

We consider the new divisor 499 and the new remainder 21,and apply the division lemma to get

499 = 21 x 23 + 16

We consider the new divisor 21 and the new remainder 16,and apply the division lemma to get

21 = 16 x 1 + 5

We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get

16 = 5 x 3 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4055 and 9628 is 1

Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(21,16) = HCF(499,21) = HCF(1019,499) = HCF(1518,1019) = HCF(4055,1518) = HCF(9628,4055) .

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Frequently Asked Questions on HCF of 4055, 9628 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 4055, 9628?

Answer: HCF of 4055, 9628 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4055, 9628 using Euclid's Algorithm?

Answer: For arbitrary numbers 4055, 9628 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.