Highest Common Factor of 5015, 3063 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 5015, 3063 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5015, 3063 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 5015, 3063 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 5015, 3063 is 1.

HCF(5015, 3063) = 1

HCF of 5015, 3063 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 5015, 3063 is 1.

Highest Common Factor of 5015,3063 using Euclid's algorithm

Highest Common Factor of 5015,3063 is 1

Step 1: Since 5015 > 3063, we apply the division lemma to 5015 and 3063, to get

5015 = 3063 x 1 + 1952

Step 2: Since the reminder 3063 ≠ 0, we apply division lemma to 1952 and 3063, to get

3063 = 1952 x 1 + 1111

Step 3: We consider the new divisor 1952 and the new remainder 1111, and apply the division lemma to get

1952 = 1111 x 1 + 841

We consider the new divisor 1111 and the new remainder 841,and apply the division lemma to get

1111 = 841 x 1 + 270

We consider the new divisor 841 and the new remainder 270,and apply the division lemma to get

841 = 270 x 3 + 31

We consider the new divisor 270 and the new remainder 31,and apply the division lemma to get

270 = 31 x 8 + 22

We consider the new divisor 31 and the new remainder 22,and apply the division lemma to get

31 = 22 x 1 + 9

We consider the new divisor 22 and the new remainder 9,and apply the division lemma to get

22 = 9 x 2 + 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 5015 and 3063 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(22,9) = HCF(31,22) = HCF(270,31) = HCF(841,270) = HCF(1111,841) = HCF(1952,1111) = HCF(3063,1952) = HCF(5015,3063) .

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Frequently Asked Questions on HCF of 5015, 3063 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 5015, 3063?

Answer: HCF of 5015, 3063 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5015, 3063 using Euclid's Algorithm?

Answer: For arbitrary numbers 5015, 3063 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.