Highest Common Factor of 6716, 5068, 60513 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 6716, 5068, 60513 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6716, 5068, 60513 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 6716, 5068, 60513 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 6716, 5068, 60513 is 1.

HCF(6716, 5068, 60513) = 1

HCF of 6716, 5068, 60513 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 6716, 5068, 60513 is 1.

Highest Common Factor of 6716,5068,60513 using Euclid's algorithm

Highest Common Factor of 6716,5068,60513 is 1

Step 1: Since 6716 > 5068, we apply the division lemma to 6716 and 5068, to get

6716 = 5068 x 1 + 1648

Step 2: Since the reminder 5068 ≠ 0, we apply division lemma to 1648 and 5068, to get

5068 = 1648 x 3 + 124

Step 3: We consider the new divisor 1648 and the new remainder 124, and apply the division lemma to get

1648 = 124 x 13 + 36

We consider the new divisor 124 and the new remainder 36,and apply the division lemma to get

124 = 36 x 3 + 16

We consider the new divisor 36 and the new remainder 16,and apply the division lemma to get

36 = 16 x 2 + 4

We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get

16 = 4 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 6716 and 5068 is 4

Notice that 4 = HCF(16,4) = HCF(36,16) = HCF(124,36) = HCF(1648,124) = HCF(5068,1648) = HCF(6716,5068) .

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

Step 1: Since 60513 > 4, we apply the division lemma to 60513 and 4, to get

60513 = 4 x 15128 + 1

Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 1 and 4, 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 4 and 60513 is 1

Notice that 1 = HCF(4,1) = HCF(60513,4) .

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Frequently Asked Questions on HCF of 6716, 5068, 60513 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 6716, 5068, 60513?

Answer: HCF of 6716, 5068, 60513 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6716, 5068, 60513 using Euclid's Algorithm?

Answer: For arbitrary numbers 6716, 5068, 60513 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.