Highest Common Factor of 5213, 2444, 84646 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 5213, 2444, 84646 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5213, 2444, 84646 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 5213, 2444, 84646 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 5213, 2444, 84646 is 1.

HCF(5213, 2444, 84646) = 1

HCF of 5213, 2444, 84646 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 5213, 2444, 84646 is 1.

Highest Common Factor of 5213,2444,84646 using Euclid's algorithm

Highest Common Factor of 5213,2444,84646 is 1

Step 1: Since 5213 > 2444, we apply the division lemma to 5213 and 2444, to get

5213 = 2444 x 2 + 325

Step 2: Since the reminder 2444 ≠ 0, we apply division lemma to 325 and 2444, to get

2444 = 325 x 7 + 169

Step 3: We consider the new divisor 325 and the new remainder 169, and apply the division lemma to get

325 = 169 x 1 + 156

We consider the new divisor 169 and the new remainder 156,and apply the division lemma to get

169 = 156 x 1 + 13

We consider the new divisor 156 and the new remainder 13,and apply the division lemma to get

156 = 13 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 5213 and 2444 is 13

Notice that 13 = HCF(156,13) = HCF(169,156) = HCF(325,169) = HCF(2444,325) = HCF(5213,2444) .

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

Step 1: Since 84646 > 13, we apply the division lemma to 84646 and 13, to get

84646 = 13 x 6511 + 3

Step 2: Since the reminder 13 ≠ 0, we apply division lemma to 3 and 13, to get

13 = 3 x 4 + 1

Step 3: We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 13 and 84646 is 1

Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(84646,13) .

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Frequently Asked Questions on HCF of 5213, 2444, 84646 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 5213, 2444, 84646?

Answer: HCF of 5213, 2444, 84646 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5213, 2444, 84646 using Euclid's Algorithm?

Answer: For arbitrary numbers 5213, 2444, 84646 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.