Highest Common Factor of 8535, 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 8535, 5248 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8535, 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 8535, 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 8535, 5248 is 1.

HCF(8535, 5248) = 1

HCF of 8535, 5248 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 8535, 5248 is 1.

Highest Common Factor of 8535,5248 using Euclid's algorithm

Highest Common Factor of 8535,5248 is 1

Step 1: Since 8535 > 5248, we apply the division lemma to 8535 and 5248, to get

8535 = 5248 x 1 + 3287

Step 2: Since the reminder 5248 ≠ 0, we apply division lemma to 3287 and 5248, to get

5248 = 3287 x 1 + 1961

Step 3: We consider the new divisor 3287 and the new remainder 1961, and apply the division lemma to get

3287 = 1961 x 1 + 1326

We consider the new divisor 1961 and the new remainder 1326,and apply the division lemma to get

1961 = 1326 x 1 + 635

We consider the new divisor 1326 and the new remainder 635,and apply the division lemma to get

1326 = 635 x 2 + 56

We consider the new divisor 635 and the new remainder 56,and apply the division lemma to get

635 = 56 x 11 + 19

We consider the new divisor 56 and the new remainder 19,and apply the division lemma to get

56 = 19 x 2 + 18

We consider the new divisor 19 and the new remainder 18,and apply the division lemma to get

19 = 18 x 1 + 1

We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get

18 = 1 x 18 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8535 and 5248 is 1

Notice that 1 = HCF(18,1) = HCF(19,18) = HCF(56,19) = HCF(635,56) = HCF(1326,635) = HCF(1961,1326) = HCF(3287,1961) = HCF(5248,3287) = HCF(8535,5248) .

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Frequently Asked Questions on HCF of 8535, 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 8535, 5248?

Answer: HCF of 8535, 5248 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8535, 5248 using Euclid's Algorithm?

Answer: For arbitrary numbers 8535, 5248 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.