Greatest Common Factor of 8250/76, 5113/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8250/76, 5113/548

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 8250/76,5113/548

Given fractions are 8250/76,5113/548

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 8250,5113

Greatest Common Factor of Numerators i.e. GCF of 8250,5113 is 1 .

LCM of Denominators means LCM of 76,548 as per the given fractions.

LCM of 76,548 is 10412 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8250,5113

GCF of Fractions 8250/76,5113/548 is 1/10412

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

Greatest Common Factor of 8250,5113 By Matching Biggest Common Factor Method

Greatest Common Factor of 8250,5113 By Matching Biggest Common Factor Method

Factors of 8250

List of positive integer factors of 8250 that divides 8250 without a remainder.

1,2,3,5,6,10,11,15,22,25,30,33,50,55,66,75,110,125,150,165,250,275,330,375,550,750,825,1375,1650,2750,4125,8250

Factors of 5113

List of positive integer factors of 5113 that divides 5113 without a remainder.

1,5113

Greatest Common Factor

We found the factors 8250,5113 . The biggest common factor number is the GCF number.
So the greatest common factor 8250,5113 is 1.

Lets's calculate LCM of 76,548

2 76, 548
2 38, 274
19, 137

∴ So the LCM of the given numbers is 2 x 2 x 19 x 137 = 10412

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10412

Therefore, the GCF of Fractions 8250/76,5113/548 is 1/10412

Least Common Multiple of 76,548 with GCF Formula

Least Common Multiple of 76,548 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 76,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,548) = 4

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

GCF(76,548) x common factors =4 x 1 = 4

LCM(76,548) = ( 76 × 548 ) / 4

LCM(76,548) = 41648 / 4

LCM(76,548) = 10412


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 8250/76, 5113/548

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 8250/76, 5113/548?

Answer: GCF of Numerators as per given numbers 8250/76, 5113/548 is

GCF of Numerators i.e. for 8250,5113 is 1

LCM of denominators i.e. for 76,548 is 10412.

Thus, GCF of Fractions is 1/10412.Finally, GCF of Fractions for 8250/76, 5113/548 is 1/10412.