Highest Common Factor of 4648, 7258 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 4648, 7258 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 4648, 7258 is 2 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 4648, 7258 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 4648, 7258 is 2.

HCF(4648, 7258) = 2

HCF of 4648, 7258 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 4648, 7258 is 2.

Highest Common Factor of 4648,7258 using Euclid's algorithm

Highest Common Factor of 4648,7258 is 2

Step 1: Since 7258 > 4648, we apply the division lemma to 7258 and 4648, to get

7258 = 4648 x 1 + 2610

Step 2: Since the reminder 4648 ≠ 0, we apply division lemma to 2610 and 4648, to get

4648 = 2610 x 1 + 2038

Step 3: We consider the new divisor 2610 and the new remainder 2038, and apply the division lemma to get

2610 = 2038 x 1 + 572

We consider the new divisor 2038 and the new remainder 572,and apply the division lemma to get

2038 = 572 x 3 + 322

We consider the new divisor 572 and the new remainder 322,and apply the division lemma to get

572 = 322 x 1 + 250

We consider the new divisor 322 and the new remainder 250,and apply the division lemma to get

322 = 250 x 1 + 72

We consider the new divisor 250 and the new remainder 72,and apply the division lemma to get

250 = 72 x 3 + 34

We consider the new divisor 72 and the new remainder 34,and apply the division lemma to get

72 = 34 x 2 + 4

We consider the new divisor 34 and the new remainder 4,and apply the division lemma to get

34 = 4 x 8 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4648 and 7258 is 2

Notice that 2 = HCF(4,2) = HCF(34,4) = HCF(72,34) = HCF(250,72) = HCF(322,250) = HCF(572,322) = HCF(2038,572) = HCF(2610,2038) = HCF(4648,2610) = HCF(7258,4648) .

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Frequently Asked Questions on HCF of 4648, 7258 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 4648, 7258?

Answer: HCF of 4648, 7258 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4648, 7258 using Euclid's Algorithm?

Answer: For arbitrary numbers 4648, 7258 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.