Highest Common Factor of 4476, 4882, 49891 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 4476, 4882, 49891 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4476, 4882, 49891 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 4476, 4882, 49891 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 4476, 4882, 49891 is 1.

HCF(4476, 4882, 49891) = 1

HCF of 4476, 4882, 49891 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 4476, 4882, 49891 is 1.

Highest Common Factor of 4476,4882,49891 using Euclid's algorithm

Highest Common Factor of 4476,4882,49891 is 1

Step 1: Since 4882 > 4476, we apply the division lemma to 4882 and 4476, to get

4882 = 4476 x 1 + 406

Step 2: Since the reminder 4476 ≠ 0, we apply division lemma to 406 and 4476, to get

4476 = 406 x 11 + 10

Step 3: We consider the new divisor 406 and the new remainder 10, and apply the division lemma to get

406 = 10 x 40 + 6

We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get

10 = 6 x 1 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4476 and 4882 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(406,10) = HCF(4476,406) = HCF(4882,4476) .

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

Step 1: Since 49891 > 2, we apply the division lemma to 49891 and 2, to get

49891 = 2 x 24945 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 49891 is 1

Notice that 1 = HCF(2,1) = HCF(49891,2) .

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Frequently Asked Questions on HCF of 4476, 4882, 49891 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 4476, 4882, 49891?

Answer: HCF of 4476, 4882, 49891 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4476, 4882, 49891 using Euclid's Algorithm?

Answer: For arbitrary numbers 4476, 4882, 49891 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.