Greatest Common Factor of 7450/275, 4356/6511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7450/275, 4356/6511

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 7450/275,4356/6511

Given fractions are 7450/275,4356/6511

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 7450,4356

Greatest Common Factor of Numerators i.e. GCF of 7450,4356 is 2 .

LCM of Denominators means LCM of 275,6511 as per the given fractions.

LCM of 275,6511 is 1790525 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7450,4356

GCF of Fractions 7450/275,4356/6511 is 2/1790525

2 7450, 4356
3725, 2178

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

Greatest Common Factor of 7450,4356 By Matching Biggest Common Factor Method

Greatest Common Factor of 7450,4356 By Matching Biggest Common Factor Method

Factors of 7450

List of positive integer factors of 7450 that divides 7450 without a remainder.

1,2,5,10,25,50,149,298,745,1490,3725,7450

Factors of 4356

List of positive integer factors of 4356 that divides 4356 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,121,132,198,242,363,396,484,726,1089,1452,2178,4356

Greatest Common Factor

We found the factors 7450,4356 . The biggest common factor number is the GCF number.
So the greatest common factor 7450,4356 is 2.

Lets's calculate LCM of 275,6511

Given numbers has no common factors except 1. So, there LCM is their product i.e 1790525

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1790525

Therefore, the GCF of Fractions 7450/275,4356/6511 is 2/1790525

Least Common Multiple of 275,6511 with GCF Formula

Least Common Multiple of 275,6511 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 275,6511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,6511) = 1

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

GCF(275,6511) x common factors =1 x 1 = 1

LCM(275,6511) = ( 275 × 6511 ) / 1

LCM(275,6511) = 1790525 / 1

LCM(275,6511) = 1790525


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 7450/275, 4356/6511

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 7450/275, 4356/6511?

Answer: GCF of Numerators as per given numbers 7450/275, 4356/6511 is

GCF of Numerators i.e. for 7450,4356 is 2

LCM of denominators i.e. for 275,6511 is 1790525.

Thus, GCF of Fractions is 2/1790525.Finally, GCF of Fractions for 7450/275, 4356/6511 is 2/1790525.