Greatest Common Factor of 7575/180, 4738/3413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7575/180, 4738/3413

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 7575/180,4738/3413

Given fractions are 7575/180,4738/3413

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 7575,4738

Greatest Common Factor of Numerators i.e. GCF of 7575,4738 is 1 .

LCM of Denominators means LCM of 180,3413 as per the given fractions.

LCM of 180,3413 is 614340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7575,4738

GCF of Fractions 7575/180,4738/3413 is 1/614340

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

Greatest Common Factor of 7575,4738 By Matching Biggest Common Factor Method

Greatest Common Factor of 7575,4738 By Matching Biggest Common Factor Method

Factors of 7575

List of positive integer factors of 7575 that divides 7575 without a remainder.

1,3,5,15,25,75,101,303,505,1515,2525,7575

Factors of 4738

List of positive integer factors of 4738 that divides 4738 without a remainder.

1,2,23,46,103,206,2369,4738

Greatest Common Factor

We found the factors 7575,4738 . The biggest common factor number is the GCF number.
So the greatest common factor 7575,4738 is 1.

Lets's calculate LCM of 180,3413

Given numbers has no common factors except 1. So, there LCM is their product i.e 614340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/614340

Therefore, the GCF of Fractions 7575/180,4738/3413 is 1/614340

Least Common Multiple of 180,3413 with GCF Formula

Least Common Multiple of 180,3413 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 180,3413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(180,3413) = 1

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

GCF(180,3413) x common factors =1 x 1 = 1

LCM(180,3413) = ( 180 × 3413 ) / 1

LCM(180,3413) = 614340 / 1

LCM(180,3413) = 614340


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 7575/180, 4738/3413

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 7575/180, 4738/3413?

Answer: GCF of Numerators as per given numbers 7575/180, 4738/3413 is

GCF of Numerators i.e. for 7575,4738 is 1

LCM of denominators i.e. for 180,3413 is 614340.

Thus, GCF of Fractions is 1/614340.Finally, GCF of Fractions for 7575/180, 4738/3413 is 1/614340.