Highest Common Factor of 8582, 5265 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 8582, 5265 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8582, 5265 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 8582, 5265 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 8582, 5265 is 1.

HCF(8582, 5265) = 1

HCF of 8582, 5265 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 8582, 5265 is 1.

Highest Common Factor of 8582,5265 using Euclid's algorithm

Highest Common Factor of 8582,5265 is 1

Step 1: Since 8582 > 5265, we apply the division lemma to 8582 and 5265, to get

8582 = 5265 x 1 + 3317

Step 2: Since the reminder 5265 ≠ 0, we apply division lemma to 3317 and 5265, to get

5265 = 3317 x 1 + 1948

Step 3: We consider the new divisor 3317 and the new remainder 1948, and apply the division lemma to get

3317 = 1948 x 1 + 1369

We consider the new divisor 1948 and the new remainder 1369,and apply the division lemma to get

1948 = 1369 x 1 + 579

We consider the new divisor 1369 and the new remainder 579,and apply the division lemma to get

1369 = 579 x 2 + 211

We consider the new divisor 579 and the new remainder 211,and apply the division lemma to get

579 = 211 x 2 + 157

We consider the new divisor 211 and the new remainder 157,and apply the division lemma to get

211 = 157 x 1 + 54

We consider the new divisor 157 and the new remainder 54,and apply the division lemma to get

157 = 54 x 2 + 49

We consider the new divisor 54 and the new remainder 49,and apply the division lemma to get

54 = 49 x 1 + 5

We consider the new divisor 49 and the new remainder 5,and apply the division lemma to get

49 = 5 x 9 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8582 and 5265 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(49,5) = HCF(54,49) = HCF(157,54) = HCF(211,157) = HCF(579,211) = HCF(1369,579) = HCF(1948,1369) = HCF(3317,1948) = HCF(5265,3317) = HCF(8582,5265) .

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Frequently Asked Questions on HCF of 8582, 5265 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 8582, 5265?

Answer: HCF of 8582, 5265 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8582, 5265 using Euclid's Algorithm?

Answer: For arbitrary numbers 8582, 5265 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.