Highest Common Factor of 8053, 3117 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 8053, 3117 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8053, 3117 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 8053, 3117 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 8053, 3117 is 1.

HCF(8053, 3117) = 1

HCF of 8053, 3117 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 8053, 3117 is 1.

Highest Common Factor of 8053,3117 using Euclid's algorithm

Highest Common Factor of 8053,3117 is 1

Step 1: Since 8053 > 3117, we apply the division lemma to 8053 and 3117, to get

8053 = 3117 x 2 + 1819

Step 2: Since the reminder 3117 ≠ 0, we apply division lemma to 1819 and 3117, to get

3117 = 1819 x 1 + 1298

Step 3: We consider the new divisor 1819 and the new remainder 1298, and apply the division lemma to get

1819 = 1298 x 1 + 521

We consider the new divisor 1298 and the new remainder 521,and apply the division lemma to get

1298 = 521 x 2 + 256

We consider the new divisor 521 and the new remainder 256,and apply the division lemma to get

521 = 256 x 2 + 9

We consider the new divisor 256 and the new remainder 9,and apply the division lemma to get

256 = 9 x 28 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 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 8053 and 3117 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(256,9) = HCF(521,256) = HCF(1298,521) = HCF(1819,1298) = HCF(3117,1819) = HCF(8053,3117) .

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Frequently Asked Questions on HCF of 8053, 3117 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 8053, 3117?

Answer: HCF of 8053, 3117 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8053, 3117 using Euclid's Algorithm?

Answer: For arbitrary numbers 8053, 3117 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.