Highest Common Factor of 7285, 4758 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 7285, 4758 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7285, 4758 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 7285, 4758 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 7285, 4758 is 1.

HCF(7285, 4758) = 1

HCF of 7285, 4758 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 7285, 4758 is 1.

Highest Common Factor of 7285,4758 using Euclid's algorithm

Highest Common Factor of 7285,4758 is 1

Step 1: Since 7285 > 4758, we apply the division lemma to 7285 and 4758, to get

7285 = 4758 x 1 + 2527

Step 2: Since the reminder 4758 ≠ 0, we apply division lemma to 2527 and 4758, to get

4758 = 2527 x 1 + 2231

Step 3: We consider the new divisor 2527 and the new remainder 2231, and apply the division lemma to get

2527 = 2231 x 1 + 296

We consider the new divisor 2231 and the new remainder 296,and apply the division lemma to get

2231 = 296 x 7 + 159

We consider the new divisor 296 and the new remainder 159,and apply the division lemma to get

296 = 159 x 1 + 137

We consider the new divisor 159 and the new remainder 137,and apply the division lemma to get

159 = 137 x 1 + 22

We consider the new divisor 137 and the new remainder 22,and apply the division lemma to get

137 = 22 x 6 + 5

We consider the new divisor 22 and the new remainder 5,and apply the division lemma to get

22 = 5 x 4 + 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 7285 and 4758 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(22,5) = HCF(137,22) = HCF(159,137) = HCF(296,159) = HCF(2231,296) = HCF(2527,2231) = HCF(4758,2527) = HCF(7285,4758) .

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Frequently Asked Questions on HCF of 7285, 4758 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 7285, 4758?

Answer: HCF of 7285, 4758 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7285, 4758 using Euclid's Algorithm?

Answer: For arbitrary numbers 7285, 4758 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.