Highest Common Factor of 4928, 7201 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 4928, 7201 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4928, 7201 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 4928, 7201 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 4928, 7201 is 1.

HCF(4928, 7201) = 1

HCF of 4928, 7201 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 4928, 7201 is 1.

Highest Common Factor of 4928,7201 using Euclid's algorithm

Highest Common Factor of 4928,7201 is 1

Step 1: Since 7201 > 4928, we apply the division lemma to 7201 and 4928, to get

7201 = 4928 x 1 + 2273

Step 2: Since the reminder 4928 ≠ 0, we apply division lemma to 2273 and 4928, to get

4928 = 2273 x 2 + 382

Step 3: We consider the new divisor 2273 and the new remainder 382, and apply the division lemma to get

2273 = 382 x 5 + 363

We consider the new divisor 382 and the new remainder 363,and apply the division lemma to get

382 = 363 x 1 + 19

We consider the new divisor 363 and the new remainder 19,and apply the division lemma to get

363 = 19 x 19 + 2

We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get

19 = 2 x 9 + 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 4928 and 7201 is 1

Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(363,19) = HCF(382,363) = HCF(2273,382) = HCF(4928,2273) = HCF(7201,4928) .

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Frequently Asked Questions on HCF of 4928, 7201 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 4928, 7201?

Answer: HCF of 4928, 7201 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4928, 7201 using Euclid's Algorithm?

Answer: For arbitrary numbers 4928, 7201 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.