Highest Common Factor of 911, 566, 964 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 911, 566, 964 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 911, 566, 964 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 911, 566, 964 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 911, 566, 964 is 1.

HCF(911, 566, 964) = 1

HCF of 911, 566, 964 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 911, 566, 964 is 1.

Highest Common Factor of 911,566,964 using Euclid's algorithm

Highest Common Factor of 911,566,964 is 1

Step 1: Since 911 > 566, we apply the division lemma to 911 and 566, to get

911 = 566 x 1 + 345

Step 2: Since the reminder 566 ≠ 0, we apply division lemma to 345 and 566, to get

566 = 345 x 1 + 221

Step 3: We consider the new divisor 345 and the new remainder 221, and apply the division lemma to get

345 = 221 x 1 + 124

We consider the new divisor 221 and the new remainder 124,and apply the division lemma to get

221 = 124 x 1 + 97

We consider the new divisor 124 and the new remainder 97,and apply the division lemma to get

124 = 97 x 1 + 27

We consider the new divisor 97 and the new remainder 27,and apply the division lemma to get

97 = 27 x 3 + 16

We consider the new divisor 27 and the new remainder 16,and apply the division lemma to get

27 = 16 x 1 + 11

We consider the new divisor 16 and the new remainder 11,and apply the division lemma to get

16 = 11 x 1 + 5

We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get

11 = 5 x 2 + 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 911 and 566 is 1

Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(16,11) = HCF(27,16) = HCF(97,27) = HCF(124,97) = HCF(221,124) = HCF(345,221) = HCF(566,345) = HCF(911,566) .

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

Step 1: Since 964 > 1, we apply the division lemma to 964 and 1, to get

964 = 1 x 964 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 964 is 1

Notice that 1 = HCF(964,1) .

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Frequently Asked Questions on HCF of 911, 566, 964 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 911, 566, 964?

Answer: HCF of 911, 566, 964 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 911, 566, 964 using Euclid's Algorithm?

Answer: For arbitrary numbers 911, 566, 964 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.