Highest Common Factor of 7489, 500 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 7489, 500 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7489, 500 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 7489, 500 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 7489, 500 is 1.

HCF(7489, 500) = 1

HCF of 7489, 500 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 7489, 500 is 1.

Highest Common Factor of 7489,500 using Euclid's algorithm

Highest Common Factor of 7489,500 is 1

Step 1: Since 7489 > 500, we apply the division lemma to 7489 and 500, to get

7489 = 500 x 14 + 489

Step 2: Since the reminder 500 ≠ 0, we apply division lemma to 489 and 500, to get

500 = 489 x 1 + 11

Step 3: We consider the new divisor 489 and the new remainder 11, and apply the division lemma to get

489 = 11 x 44 + 5

We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get

11 = 5 x 2 + 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 7489 and 500 is 1

Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(489,11) = HCF(500,489) = HCF(7489,500) .

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Frequently Asked Questions on HCF of 7489, 500 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 7489, 500?

Answer: HCF of 7489, 500 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7489, 500 using Euclid's Algorithm?

Answer: For arbitrary numbers 7489, 500 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.