Highest Common Factor of 5065, 6367, 44977 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 5065, 6367, 44977 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5065, 6367, 44977 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 5065, 6367, 44977 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 5065, 6367, 44977 is 1.

HCF(5065, 6367, 44977) = 1

HCF of 5065, 6367, 44977 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 5065, 6367, 44977 is 1.

Highest Common Factor of 5065,6367,44977 using Euclid's algorithm

Highest Common Factor of 5065,6367,44977 is 1

Step 1: Since 6367 > 5065, we apply the division lemma to 6367 and 5065, to get

6367 = 5065 x 1 + 1302

Step 2: Since the reminder 5065 ≠ 0, we apply division lemma to 1302 and 5065, to get

5065 = 1302 x 3 + 1159

Step 3: We consider the new divisor 1302 and the new remainder 1159, and apply the division lemma to get

1302 = 1159 x 1 + 143

We consider the new divisor 1159 and the new remainder 143,and apply the division lemma to get

1159 = 143 x 8 + 15

We consider the new divisor 143 and the new remainder 15,and apply the division lemma to get

143 = 15 x 9 + 8

We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get

15 = 8 x 1 + 7

We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get

8 = 7 x 1 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5065 and 6367 is 1

Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(143,15) = HCF(1159,143) = HCF(1302,1159) = HCF(5065,1302) = HCF(6367,5065) .

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

Step 1: Since 44977 > 1, we apply the division lemma to 44977 and 1, to get

44977 = 1 x 44977 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 44977 is 1

Notice that 1 = HCF(44977,1) .

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Frequently Asked Questions on HCF of 5065, 6367, 44977 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 5065, 6367, 44977?

Answer: HCF of 5065, 6367, 44977 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5065, 6367, 44977 using Euclid's Algorithm?

Answer: For arbitrary numbers 5065, 6367, 44977 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.