Highest Common Factor of 960, 288, 839 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, 288, 839 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 960, 288, 839 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, 288, 839 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, 288, 839 is 1.

HCF(960, 288, 839) = 1

HCF of 960, 288, 839 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, 288, 839 is 1.

Highest Common Factor of 960,288,839 using Euclid's algorithm

Highest Common Factor of 960,288,839 is 1

Step 1: Since 960 > 288, we apply the division lemma to 960 and 288, to get

960 = 288 x 3 + 96

Step 2: Since the reminder 288 ≠ 0, we apply division lemma to 96 and 288, to get

288 = 96 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 96, the HCF of 960 and 288 is 96

Notice that 96 = HCF(288,96) = HCF(960,288) .

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

Step 1: Since 839 > 96, we apply the division lemma to 839 and 96, to get

839 = 96 x 8 + 71

Step 2: Since the reminder 96 ≠ 0, we apply division lemma to 71 and 96, to get

96 = 71 x 1 + 25

Step 3: We consider the new divisor 71 and the new remainder 25, and apply the division lemma to get

71 = 25 x 2 + 21

We consider the new divisor 25 and the new remainder 21,and apply the division lemma to get

25 = 21 x 1 + 4

We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get

21 = 4 x 5 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma 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 96 and 839 is 1

Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(25,21) = HCF(71,25) = HCF(96,71) = HCF(839,96) .

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Frequently Asked Questions on HCF of 960, 288, 839 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, 288, 839?

Answer: HCF of 960, 288, 839 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 960, 288, 839 using Euclid's Algorithm?

Answer: For arbitrary numbers 960, 288, 839 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.