Greatest Common Factor of 5049/75, 5788/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5049/75, 5788/548

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 5049/75,5788/548

Given fractions are 5049/75,5788/548

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 5049,5788

Greatest Common Factor of Numerators i.e. GCF of 5049,5788 is 1 .

LCM of Denominators means LCM of 75,548 as per the given fractions.

LCM of 75,548 is 41100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5049,5788

GCF of Fractions 5049/75,5788/548 is 1/41100

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5049,5788 By Matching Biggest Common Factor Method

Greatest Common Factor of 5049,5788 By Matching Biggest Common Factor Method

Factors of 5049

List of positive integer factors of 5049 that divides 5049 without a remainder.

1,3,9,11,17,27,33,51,99,153,187,297,459,561,1683,5049

Factors of 5788

List of positive integer factors of 5788 that divides 5788 without a remainder.

1,2,4,1447,2894,5788

Greatest Common Factor

We found the factors 5049,5788 . The biggest common factor number is the GCF number.
So the greatest common factor 5049,5788 is 1.

Lets's calculate LCM of 75,548

Given numbers has no common factors except 1. So, there LCM is their product i.e 41100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41100

Therefore, the GCF of Fractions 5049/75,5788/548 is 1/41100

Least Common Multiple of 75,548 with GCF Formula

Least Common Multiple of 75,548 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 75,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,548) = 1

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

GCF(75,548) x common factors =1 x 1 = 1

LCM(75,548) = ( 75 × 548 ) / 1

LCM(75,548) = 41100 / 1

LCM(75,548) = 41100


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 5049/75, 5788/548

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 5049/75, 5788/548?

Answer: GCF of Numerators as per given numbers 5049/75, 5788/548 is

GCF of Numerators i.e. for 5049,5788 is 1

LCM of denominators i.e. for 75,548 is 41100.

Thus, GCF of Fractions is 1/41100.Finally, GCF of Fractions for 5049/75, 5788/548 is 1/41100.