Highest Common Factor of 9056, 5111 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 9056, 5111 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9056, 5111 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 9056, 5111 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 9056, 5111 is 1.

HCF(9056, 5111) = 1

HCF of 9056, 5111 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 9056, 5111 is 1.

Highest Common Factor of 9056,5111 using Euclid's algorithm

Highest Common Factor of 9056,5111 is 1

Step 1: Since 9056 > 5111, we apply the division lemma to 9056 and 5111, to get

9056 = 5111 x 1 + 3945

Step 2: Since the reminder 5111 ≠ 0, we apply division lemma to 3945 and 5111, to get

5111 = 3945 x 1 + 1166

Step 3: We consider the new divisor 3945 and the new remainder 1166, and apply the division lemma to get

3945 = 1166 x 3 + 447

We consider the new divisor 1166 and the new remainder 447,and apply the division lemma to get

1166 = 447 x 2 + 272

We consider the new divisor 447 and the new remainder 272,and apply the division lemma to get

447 = 272 x 1 + 175

We consider the new divisor 272 and the new remainder 175,and apply the division lemma to get

272 = 175 x 1 + 97

We consider the new divisor 175 and the new remainder 97,and apply the division lemma to get

175 = 97 x 1 + 78

We consider the new divisor 97 and the new remainder 78,and apply the division lemma to get

97 = 78 x 1 + 19

We consider the new divisor 78 and the new remainder 19,and apply the division lemma to get

78 = 19 x 4 + 2

We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get

19 = 2 x 9 + 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 9056 and 5111 is 1

Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(78,19) = HCF(97,78) = HCF(175,97) = HCF(272,175) = HCF(447,272) = HCF(1166,447) = HCF(3945,1166) = HCF(5111,3945) = HCF(9056,5111) .

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Frequently Asked Questions on HCF of 9056, 5111 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 9056, 5111?

Answer: HCF of 9056, 5111 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9056, 5111 using Euclid's Algorithm?

Answer: For arbitrary numbers 9056, 5111 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.