Highest Common Factor of 963, 565, 96, 936 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 963, 565, 96, 936 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 963, 565, 96, 936 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 963, 565, 96, 936 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 963, 565, 96, 936 is 1.

HCF(963, 565, 96, 936) = 1

HCF of 963, 565, 96, 936 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 963, 565, 96, 936 is 1.

Highest Common Factor of 963,565,96,936 using Euclid's algorithm

Highest Common Factor of 963,565,96,936 is 1

Step 1: Since 963 > 565, we apply the division lemma to 963 and 565, to get

963 = 565 x 1 + 398

Step 2: Since the reminder 565 ≠ 0, we apply division lemma to 398 and 565, to get

565 = 398 x 1 + 167

Step 3: We consider the new divisor 398 and the new remainder 167, and apply the division lemma to get

398 = 167 x 2 + 64

We consider the new divisor 167 and the new remainder 64,and apply the division lemma to get

167 = 64 x 2 + 39

We consider the new divisor 64 and the new remainder 39,and apply the division lemma to get

64 = 39 x 1 + 25

We consider the new divisor 39 and the new remainder 25,and apply the division lemma to get

39 = 25 x 1 + 14

We consider the new divisor 25 and the new remainder 14,and apply the division lemma to get

25 = 14 x 1 + 11

We consider the new divisor 14 and the new remainder 11,and apply the division lemma to get

14 = 11 x 1 + 3

We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get

11 = 3 x 3 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 963 and 565 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(14,11) = HCF(25,14) = HCF(39,25) = HCF(64,39) = HCF(167,64) = HCF(398,167) = HCF(565,398) = HCF(963,565) .

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

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

96 = 1 x 96 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 96 is 1

Notice that 1 = HCF(96,1) .

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

Step 1: Since 936 > 1, we apply the division lemma to 936 and 1, to get

936 = 1 x 936 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 936 is 1

Notice that 1 = HCF(936,1) .

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Frequently Asked Questions on HCF of 963, 565, 96, 936 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 963, 565, 96, 936?

Answer: HCF of 963, 565, 96, 936 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 963, 565, 96, 936 using Euclid's Algorithm?

Answer: For arbitrary numbers 963, 565, 96, 936 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.