Highest Common Factor of 4519, 2967 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 4519, 2967 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4519, 2967 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 4519, 2967 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 4519, 2967 is 1.

HCF(4519, 2967) = 1

HCF of 4519, 2967 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 4519, 2967 is 1.

Highest Common Factor of 4519,2967 using Euclid's algorithm

Highest Common Factor of 4519,2967 is 1

Step 1: Since 4519 > 2967, we apply the division lemma to 4519 and 2967, to get

4519 = 2967 x 1 + 1552

Step 2: Since the reminder 2967 ≠ 0, we apply division lemma to 1552 and 2967, to get

2967 = 1552 x 1 + 1415

Step 3: We consider the new divisor 1552 and the new remainder 1415, and apply the division lemma to get

1552 = 1415 x 1 + 137

We consider the new divisor 1415 and the new remainder 137,and apply the division lemma to get

1415 = 137 x 10 + 45

We consider the new divisor 137 and the new remainder 45,and apply the division lemma to get

137 = 45 x 3 + 2

We consider the new divisor 45 and the new remainder 2,and apply the division lemma to get

45 = 2 x 22 + 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 4519 and 2967 is 1

Notice that 1 = HCF(2,1) = HCF(45,2) = HCF(137,45) = HCF(1415,137) = HCF(1552,1415) = HCF(2967,1552) = HCF(4519,2967) .

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Frequently Asked Questions on HCF of 4519, 2967 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 4519, 2967?

Answer: HCF of 4519, 2967 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4519, 2967 using Euclid's Algorithm?

Answer: For arbitrary numbers 4519, 2967 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.