Highest Common Factor of 6073, 3517 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 6073, 3517 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6073, 3517 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 6073, 3517 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 6073, 3517 is 1.

HCF(6073, 3517) = 1

HCF of 6073, 3517 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 6073, 3517 is 1.

Highest Common Factor of 6073,3517 using Euclid's algorithm

Highest Common Factor of 6073,3517 is 1

Step 1: Since 6073 > 3517, we apply the division lemma to 6073 and 3517, to get

6073 = 3517 x 1 + 2556

Step 2: Since the reminder 3517 ≠ 0, we apply division lemma to 2556 and 3517, to get

3517 = 2556 x 1 + 961

Step 3: We consider the new divisor 2556 and the new remainder 961, and apply the division lemma to get

2556 = 961 x 2 + 634

We consider the new divisor 961 and the new remainder 634,and apply the division lemma to get

961 = 634 x 1 + 327

We consider the new divisor 634 and the new remainder 327,and apply the division lemma to get

634 = 327 x 1 + 307

We consider the new divisor 327 and the new remainder 307,and apply the division lemma to get

327 = 307 x 1 + 20

We consider the new divisor 307 and the new remainder 20,and apply the division lemma to get

307 = 20 x 15 + 7

We consider the new divisor 20 and the new remainder 7,and apply the division lemma to get

20 = 7 x 2 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6073 and 3517 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(20,7) = HCF(307,20) = HCF(327,307) = HCF(634,327) = HCF(961,634) = HCF(2556,961) = HCF(3517,2556) = HCF(6073,3517) .

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Frequently Asked Questions on HCF of 6073, 3517 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 6073, 3517?

Answer: HCF of 6073, 3517 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6073, 3517 using Euclid's Algorithm?

Answer: For arbitrary numbers 6073, 3517 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.