Highest Common Factor of 5291, 8345 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 5291, 8345 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5291, 8345 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 5291, 8345 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 5291, 8345 is 1.

HCF(5291, 8345) = 1

HCF of 5291, 8345 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 5291, 8345 is 1.

Highest Common Factor of 5291,8345 using Euclid's algorithm

Highest Common Factor of 5291,8345 is 1

Step 1: Since 8345 > 5291, we apply the division lemma to 8345 and 5291, to get

8345 = 5291 x 1 + 3054

Step 2: Since the reminder 5291 ≠ 0, we apply division lemma to 3054 and 5291, to get

5291 = 3054 x 1 + 2237

Step 3: We consider the new divisor 3054 and the new remainder 2237, and apply the division lemma to get

3054 = 2237 x 1 + 817

We consider the new divisor 2237 and the new remainder 817,and apply the division lemma to get

2237 = 817 x 2 + 603

We consider the new divisor 817 and the new remainder 603,and apply the division lemma to get

817 = 603 x 1 + 214

We consider the new divisor 603 and the new remainder 214,and apply the division lemma to get

603 = 214 x 2 + 175

We consider the new divisor 214 and the new remainder 175,and apply the division lemma to get

214 = 175 x 1 + 39

We consider the new divisor 175 and the new remainder 39,and apply the division lemma to get

175 = 39 x 4 + 19

We consider the new divisor 39 and the new remainder 19,and apply the division lemma to get

39 = 19 x 2 + 1

We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get

19 = 1 x 19 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5291 and 8345 is 1

Notice that 1 = HCF(19,1) = HCF(39,19) = HCF(175,39) = HCF(214,175) = HCF(603,214) = HCF(817,603) = HCF(2237,817) = HCF(3054,2237) = HCF(5291,3054) = HCF(8345,5291) .

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Frequently Asked Questions on HCF of 5291, 8345 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 5291, 8345?

Answer: HCF of 5291, 8345 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5291, 8345 using Euclid's Algorithm?

Answer: For arbitrary numbers 5291, 8345 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.