Highest Common Factor of 5313, 8504 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 5313, 8504 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5313, 8504 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 5313, 8504 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 5313, 8504 is 1.

HCF(5313, 8504) = 1

HCF of 5313, 8504 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 5313, 8504 is 1.

Highest Common Factor of 5313,8504 using Euclid's algorithm

Highest Common Factor of 5313,8504 is 1

Step 1: Since 8504 > 5313, we apply the division lemma to 8504 and 5313, to get

8504 = 5313 x 1 + 3191

Step 2: Since the reminder 5313 ≠ 0, we apply division lemma to 3191 and 5313, to get

5313 = 3191 x 1 + 2122

Step 3: We consider the new divisor 3191 and the new remainder 2122, and apply the division lemma to get

3191 = 2122 x 1 + 1069

We consider the new divisor 2122 and the new remainder 1069,and apply the division lemma to get

2122 = 1069 x 1 + 1053

We consider the new divisor 1069 and the new remainder 1053,and apply the division lemma to get

1069 = 1053 x 1 + 16

We consider the new divisor 1053 and the new remainder 16,and apply the division lemma to get

1053 = 16 x 65 + 13

We consider the new divisor 16 and the new remainder 13,and apply the division lemma to get

16 = 13 x 1 + 3

We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get

13 = 3 x 4 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5313 and 8504 is 1

Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(16,13) = HCF(1053,16) = HCF(1069,1053) = HCF(2122,1069) = HCF(3191,2122) = HCF(5313,3191) = HCF(8504,5313) .

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Frequently Asked Questions on HCF of 5313, 8504 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 5313, 8504?

Answer: HCF of 5313, 8504 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5313, 8504 using Euclid's Algorithm?

Answer: For arbitrary numbers 5313, 8504 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.