Highest Common Factor of 2515, 5248 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 2515, 5248 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2515, 5248 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 2515, 5248 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 2515, 5248 is 1.

HCF(2515, 5248) = 1

HCF of 2515, 5248 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 2515, 5248 is 1.

Highest Common Factor of 2515,5248 using Euclid's algorithm

Highest Common Factor of 2515,5248 is 1

Step 1: Since 5248 > 2515, we apply the division lemma to 5248 and 2515, to get

5248 = 2515 x 2 + 218

Step 2: Since the reminder 2515 ≠ 0, we apply division lemma to 218 and 2515, to get

2515 = 218 x 11 + 117

Step 3: We consider the new divisor 218 and the new remainder 117, and apply the division lemma to get

218 = 117 x 1 + 101

We consider the new divisor 117 and the new remainder 101,and apply the division lemma to get

117 = 101 x 1 + 16

We consider the new divisor 101 and the new remainder 16,and apply the division lemma to get

101 = 16 x 6 + 5

We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get

16 = 5 x 3 + 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 2515 and 5248 is 1

Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(101,16) = HCF(117,101) = HCF(218,117) = HCF(2515,218) = HCF(5248,2515) .

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Frequently Asked Questions on HCF of 2515, 5248 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 2515, 5248?

Answer: HCF of 2515, 5248 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2515, 5248 using Euclid's Algorithm?

Answer: For arbitrary numbers 2515, 5248 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.