Highest Common Factor of 6062, 1613, 63522 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 6062, 1613, 63522 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6062, 1613, 63522 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 6062, 1613, 63522 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 6062, 1613, 63522 is 1.

HCF(6062, 1613, 63522) = 1

HCF of 6062, 1613, 63522 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 6062, 1613, 63522 is 1.

Highest Common Factor of 6062,1613,63522 using Euclid's algorithm

Highest Common Factor of 6062,1613,63522 is 1

Step 1: Since 6062 > 1613, we apply the division lemma to 6062 and 1613, to get

6062 = 1613 x 3 + 1223

Step 2: Since the reminder 1613 ≠ 0, we apply division lemma to 1223 and 1613, to get

1613 = 1223 x 1 + 390

Step 3: We consider the new divisor 1223 and the new remainder 390, and apply the division lemma to get

1223 = 390 x 3 + 53

We consider the new divisor 390 and the new remainder 53,and apply the division lemma to get

390 = 53 x 7 + 19

We consider the new divisor 53 and the new remainder 19,and apply the division lemma to get

53 = 19 x 2 + 15

We consider the new divisor 19 and the new remainder 15,and apply the division lemma to get

19 = 15 x 1 + 4

We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get

15 = 4 x 3 + 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 6062 and 1613 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(19,15) = HCF(53,19) = HCF(390,53) = HCF(1223,390) = HCF(1613,1223) = HCF(6062,1613) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 63522 > 1, we apply the division lemma to 63522 and 1, to get

63522 = 1 x 63522 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 63522 is 1

Notice that 1 = HCF(63522,1) .

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Frequently Asked Questions on HCF of 6062, 1613, 63522 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 6062, 1613, 63522?

Answer: HCF of 6062, 1613, 63522 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6062, 1613, 63522 using Euclid's Algorithm?

Answer: For arbitrary numbers 6062, 1613, 63522 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.