Highest Common Factor of 9116, 1893 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 9116, 1893 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9116, 1893 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 9116, 1893 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 9116, 1893 is 1.

HCF(9116, 1893) = 1

HCF of 9116, 1893 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 9116, 1893 is 1.

Highest Common Factor of 9116,1893 using Euclid's algorithm

Highest Common Factor of 9116,1893 is 1

Step 1: Since 9116 > 1893, we apply the division lemma to 9116 and 1893, to get

9116 = 1893 x 4 + 1544

Step 2: Since the reminder 1893 ≠ 0, we apply division lemma to 1544 and 1893, to get

1893 = 1544 x 1 + 349

Step 3: We consider the new divisor 1544 and the new remainder 349, and apply the division lemma to get

1544 = 349 x 4 + 148

We consider the new divisor 349 and the new remainder 148,and apply the division lemma to get

349 = 148 x 2 + 53

We consider the new divisor 148 and the new remainder 53,and apply the division lemma to get

148 = 53 x 2 + 42

We consider the new divisor 53 and the new remainder 42,and apply the division lemma to get

53 = 42 x 1 + 11

We consider the new divisor 42 and the new remainder 11,and apply the division lemma to get

42 = 11 x 3 + 9

We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get

11 = 9 x 1 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 9116 and 1893 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(42,11) = HCF(53,42) = HCF(148,53) = HCF(349,148) = HCF(1544,349) = HCF(1893,1544) = HCF(9116,1893) .

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Frequently Asked Questions on HCF of 9116, 1893 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 9116, 1893?

Answer: HCF of 9116, 1893 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9116, 1893 using Euclid's Algorithm?

Answer: For arbitrary numbers 9116, 1893 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.