Greatest Common Factor of 4552/81, 5868/617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4552/81, 5868/617

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 4552/81,5868/617

Given fractions are 4552/81,5868/617

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 4552,5868

Greatest Common Factor of Numerators i.e. GCF of 4552,5868 is 4 .

LCM of Denominators means LCM of 81,617 as per the given fractions.

LCM of 81,617 is 49977 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4552,5868

GCF of Fractions 4552/81,5868/617 is 4/49977

2 4552, 5868
2 2276, 2934
1138, 1467

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4552,5868 By Matching Biggest Common Factor Method

Greatest Common Factor of 4552,5868 By Matching Biggest Common Factor Method

Factors of 4552

List of positive integer factors of 4552 that divides 4552 without a remainder.

1,2,4,8,569,1138,2276,4552

Factors of 5868

List of positive integer factors of 5868 that divides 5868 without a remainder.

1,2,3,4,6,9,12,18,36,163,326,489,652,978,1467,1956,2934,5868

Greatest Common Factor

We found the factors 4552,5868 . The biggest common factor number is the GCF number.
So the greatest common factor 4552,5868 is 4.

Lets's calculate LCM of 81,617

Given numbers has no common factors except 1. So, there LCM is their product i.e 49977

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/49977

Therefore, the GCF of Fractions 4552/81,5868/617 is 4/49977

Least Common Multiple of 81,617 with GCF Formula

Least Common Multiple of 81,617 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 81,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,617) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(81,617) x common factors =1 x 1 = 1

LCM(81,617) = ( 81 × 617 ) / 1

LCM(81,617) = 49977 / 1

LCM(81,617) = 49977


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 4552/81, 5868/617

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 4552/81, 5868/617?

Answer: GCF of Numerators as per given numbers 4552/81, 5868/617 is

GCF of Numerators i.e. for 4552,5868 is 4

LCM of denominators i.e. for 81,617 is 49977.

Thus, GCF of Fractions is 4/49977.Finally, GCF of Fractions for 4552/81, 5868/617 is 4/49977.