Highest Common Factor of 8345, 5121 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 8345, 5121 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8345, 5121 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 8345, 5121 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 8345, 5121 is 1.

HCF(8345, 5121) = 1

HCF of 8345, 5121 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 8345, 5121 is 1.

Highest Common Factor of 8345,5121 using Euclid's algorithm

Highest Common Factor of 8345,5121 is 1

Step 1: Since 8345 > 5121, we apply the division lemma to 8345 and 5121, to get

8345 = 5121 x 1 + 3224

Step 2: Since the reminder 5121 ≠ 0, we apply division lemma to 3224 and 5121, to get

5121 = 3224 x 1 + 1897

Step 3: We consider the new divisor 3224 and the new remainder 1897, and apply the division lemma to get

3224 = 1897 x 1 + 1327

We consider the new divisor 1897 and the new remainder 1327,and apply the division lemma to get

1897 = 1327 x 1 + 570

We consider the new divisor 1327 and the new remainder 570,and apply the division lemma to get

1327 = 570 x 2 + 187

We consider the new divisor 570 and the new remainder 187,and apply the division lemma to get

570 = 187 x 3 + 9

We consider the new divisor 187 and the new remainder 9,and apply the division lemma to get

187 = 9 x 20 + 7

We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get

9 = 7 x 1 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8345 and 5121 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(187,9) = HCF(570,187) = HCF(1327,570) = HCF(1897,1327) = HCF(3224,1897) = HCF(5121,3224) = HCF(8345,5121) .

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Frequently Asked Questions on HCF of 8345, 5121 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 8345, 5121?

Answer: HCF of 8345, 5121 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8345, 5121 using Euclid's Algorithm?

Answer: For arbitrary numbers 8345, 5121 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.