Highest Common Factor of 5279, 7507 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 5279, 7507 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5279, 7507 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 5279, 7507 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 5279, 7507 is 1.

HCF(5279, 7507) = 1

HCF of 5279, 7507 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 5279, 7507 is 1.

Highest Common Factor of 5279,7507 using Euclid's algorithm

Highest Common Factor of 5279,7507 is 1

Step 1: Since 7507 > 5279, we apply the division lemma to 7507 and 5279, to get

7507 = 5279 x 1 + 2228

Step 2: Since the reminder 5279 ≠ 0, we apply division lemma to 2228 and 5279, to get

5279 = 2228 x 2 + 823

Step 3: We consider the new divisor 2228 and the new remainder 823, and apply the division lemma to get

2228 = 823 x 2 + 582

We consider the new divisor 823 and the new remainder 582,and apply the division lemma to get

823 = 582 x 1 + 241

We consider the new divisor 582 and the new remainder 241,and apply the division lemma to get

582 = 241 x 2 + 100

We consider the new divisor 241 and the new remainder 100,and apply the division lemma to get

241 = 100 x 2 + 41

We consider the new divisor 100 and the new remainder 41,and apply the division lemma to get

100 = 41 x 2 + 18

We consider the new divisor 41 and the new remainder 18,and apply the division lemma to get

41 = 18 x 2 + 5

We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get

18 = 5 x 3 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 5279 and 7507 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(41,18) = HCF(100,41) = HCF(241,100) = HCF(582,241) = HCF(823,582) = HCF(2228,823) = HCF(5279,2228) = HCF(7507,5279) .

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Frequently Asked Questions on HCF of 5279, 7507 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 5279, 7507?

Answer: HCF of 5279, 7507 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5279, 7507 using Euclid's Algorithm?

Answer: For arbitrary numbers 5279, 7507 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.