Highest Common Factor of 8493, 3119 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 8493, 3119 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8493, 3119 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 8493, 3119 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 8493, 3119 is 1.

HCF(8493, 3119) = 1

HCF of 8493, 3119 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 8493, 3119 is 1.

Highest Common Factor of 8493,3119 using Euclid's algorithm

Highest Common Factor of 8493,3119 is 1

Step 1: Since 8493 > 3119, we apply the division lemma to 8493 and 3119, to get

8493 = 3119 x 2 + 2255

Step 2: Since the reminder 3119 ≠ 0, we apply division lemma to 2255 and 3119, to get

3119 = 2255 x 1 + 864

Step 3: We consider the new divisor 2255 and the new remainder 864, and apply the division lemma to get

2255 = 864 x 2 + 527

We consider the new divisor 864 and the new remainder 527,and apply the division lemma to get

864 = 527 x 1 + 337

We consider the new divisor 527 and the new remainder 337,and apply the division lemma to get

527 = 337 x 1 + 190

We consider the new divisor 337 and the new remainder 190,and apply the division lemma to get

337 = 190 x 1 + 147

We consider the new divisor 190 and the new remainder 147,and apply the division lemma to get

190 = 147 x 1 + 43

We consider the new divisor 147 and the new remainder 43,and apply the division lemma to get

147 = 43 x 3 + 18

We consider the new divisor 43 and the new remainder 18,and apply the division lemma to get

43 = 18 x 2 + 7

We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get

18 = 7 x 2 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 8493 and 3119 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(43,18) = HCF(147,43) = HCF(190,147) = HCF(337,190) = HCF(527,337) = HCF(864,527) = HCF(2255,864) = HCF(3119,2255) = HCF(8493,3119) .

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Frequently Asked Questions on HCF of 8493, 3119 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 8493, 3119?

Answer: HCF of 8493, 3119 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8493, 3119 using Euclid's Algorithm?

Answer: For arbitrary numbers 8493, 3119 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.