Highest Common Factor of 8161, 2416 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 8161, 2416 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8161, 2416 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 8161, 2416 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 8161, 2416 is 1.

HCF(8161, 2416) = 1

HCF of 8161, 2416 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 8161, 2416 is 1.

Highest Common Factor of 8161,2416 using Euclid's algorithm

Highest Common Factor of 8161,2416 is 1

Step 1: Since 8161 > 2416, we apply the division lemma to 8161 and 2416, to get

8161 = 2416 x 3 + 913

Step 2: Since the reminder 2416 ≠ 0, we apply division lemma to 913 and 2416, to get

2416 = 913 x 2 + 590

Step 3: We consider the new divisor 913 and the new remainder 590, and apply the division lemma to get

913 = 590 x 1 + 323

We consider the new divisor 590 and the new remainder 323,and apply the division lemma to get

590 = 323 x 1 + 267

We consider the new divisor 323 and the new remainder 267,and apply the division lemma to get

323 = 267 x 1 + 56

We consider the new divisor 267 and the new remainder 56,and apply the division lemma to get

267 = 56 x 4 + 43

We consider the new divisor 56 and the new remainder 43,and apply the division lemma to get

56 = 43 x 1 + 13

We consider the new divisor 43 and the new remainder 13,and apply the division lemma to get

43 = 13 x 3 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8161 and 2416 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(43,13) = HCF(56,43) = HCF(267,56) = HCF(323,267) = HCF(590,323) = HCF(913,590) = HCF(2416,913) = HCF(8161,2416) .

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Frequently Asked Questions on HCF of 8161, 2416 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 8161, 2416?

Answer: HCF of 8161, 2416 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8161, 2416 using Euclid's Algorithm?

Answer: For arbitrary numbers 8161, 2416 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.