Highest Common Factor of 3037, 8663 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 3037, 8663 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3037, 8663 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 3037, 8663 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 3037, 8663 is 1.

HCF(3037, 8663) = 1

HCF of 3037, 8663 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 3037, 8663 is 1.

Highest Common Factor of 3037,8663 using Euclid's algorithm

Highest Common Factor of 3037,8663 is 1

Step 1: Since 8663 > 3037, we apply the division lemma to 8663 and 3037, to get

8663 = 3037 x 2 + 2589

Step 2: Since the reminder 3037 ≠ 0, we apply division lemma to 2589 and 3037, to get

3037 = 2589 x 1 + 448

Step 3: We consider the new divisor 2589 and the new remainder 448, and apply the division lemma to get

2589 = 448 x 5 + 349

We consider the new divisor 448 and the new remainder 349,and apply the division lemma to get

448 = 349 x 1 + 99

We consider the new divisor 349 and the new remainder 99,and apply the division lemma to get

349 = 99 x 3 + 52

We consider the new divisor 99 and the new remainder 52,and apply the division lemma to get

99 = 52 x 1 + 47

We consider the new divisor 52 and the new remainder 47,and apply the division lemma to get

52 = 47 x 1 + 5

We consider the new divisor 47 and the new remainder 5,and apply the division lemma to get

47 = 5 x 9 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 3037 and 8663 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(47,5) = HCF(52,47) = HCF(99,52) = HCF(349,99) = HCF(448,349) = HCF(2589,448) = HCF(3037,2589) = HCF(8663,3037) .

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Frequently Asked Questions on HCF of 3037, 8663 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 3037, 8663?

Answer: HCF of 3037, 8663 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3037, 8663 using Euclid's Algorithm?

Answer: For arbitrary numbers 3037, 8663 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.