Highest Common Factor of 960, 1379, 4960 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 960, 1379, 4960 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 960, 1379, 4960 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 960, 1379, 4960 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 960, 1379, 4960 is 1.

HCF(960, 1379, 4960) = 1

HCF of 960, 1379, 4960 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 960, 1379, 4960 is 1.

Highest Common Factor of 960,1379,4960 using Euclid's algorithm

Highest Common Factor of 960,1379,4960 is 1

Step 1: Since 1379 > 960, we apply the division lemma to 1379 and 960, to get

1379 = 960 x 1 + 419

Step 2: Since the reminder 960 ≠ 0, we apply division lemma to 419 and 960, to get

960 = 419 x 2 + 122

Step 3: We consider the new divisor 419 and the new remainder 122, and apply the division lemma to get

419 = 122 x 3 + 53

We consider the new divisor 122 and the new remainder 53,and apply the division lemma to get

122 = 53 x 2 + 16

We consider the new divisor 53 and the new remainder 16,and apply the division lemma to get

53 = 16 x 3 + 5

We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get

16 = 5 x 3 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 960 and 1379 is 1

Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(53,16) = HCF(122,53) = HCF(419,122) = HCF(960,419) = HCF(1379,960) .

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

Step 1: Since 4960 > 1, we apply the division lemma to 4960 and 1, to get

4960 = 1 x 4960 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4960 is 1

Notice that 1 = HCF(4960,1) .

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Frequently Asked Questions on HCF of 960, 1379, 4960 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 960, 1379, 4960?

Answer: HCF of 960, 1379, 4960 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 960, 1379, 4960 using Euclid's Algorithm?

Answer: For arbitrary numbers 960, 1379, 4960 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.