Highest Common Factor of 9833, 2912 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 9833, 2912 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9833, 2912 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 9833, 2912 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 9833, 2912 is 1.

HCF(9833, 2912) = 1

HCF of 9833, 2912 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 9833, 2912 is 1.

Highest Common Factor of 9833,2912 using Euclid's algorithm

Highest Common Factor of 9833,2912 is 1

Step 1: Since 9833 > 2912, we apply the division lemma to 9833 and 2912, to get

9833 = 2912 x 3 + 1097

Step 2: Since the reminder 2912 ≠ 0, we apply division lemma to 1097 and 2912, to get

2912 = 1097 x 2 + 718

Step 3: We consider the new divisor 1097 and the new remainder 718, and apply the division lemma to get

1097 = 718 x 1 + 379

We consider the new divisor 718 and the new remainder 379,and apply the division lemma to get

718 = 379 x 1 + 339

We consider the new divisor 379 and the new remainder 339,and apply the division lemma to get

379 = 339 x 1 + 40

We consider the new divisor 339 and the new remainder 40,and apply the division lemma to get

339 = 40 x 8 + 19

We consider the new divisor 40 and the new remainder 19,and apply the division lemma to get

40 = 19 x 2 + 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 9833 and 2912 is 1

Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(40,19) = HCF(339,40) = HCF(379,339) = HCF(718,379) = HCF(1097,718) = HCF(2912,1097) = HCF(9833,2912) .

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Frequently Asked Questions on HCF of 9833, 2912 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 9833, 2912?

Answer: HCF of 9833, 2912 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9833, 2912 using Euclid's Algorithm?

Answer: For arbitrary numbers 9833, 2912 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.