Greatest Common Factor of 7575/435, 4380/6115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7575/435, 4380/6115

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 7575/435,4380/6115

Given fractions are 7575/435,4380/6115

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 7575,4380

Greatest Common Factor of Numerators i.e. GCF of 7575,4380 is 15 .

LCM of Denominators means LCM of 435,6115 as per the given fractions.

LCM of 435,6115 is 532005 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7575,4380

GCF of Fractions 7575/435,4380/6115 is 15/532005

3 7575, 4380
5 2525, 1460
505, 292

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 7575,4380 By Matching Biggest Common Factor Method

Greatest Common Factor of 7575,4380 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 4380

List of positive integer factors of 4380 that divides 4380 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,73,146,219,292,365,438,730,876,1095,1460,2190,4380

Greatest Common Factor

We found the factors 7575,4380 . The biggest common factor number is the GCF number.
So the greatest common factor 7575,4380 is 15.

Lets's calculate LCM of 435,6115

5 435, 6115
87, 1223

∴ So the LCM of the given numbers is 5 x 87 x 1223 = 532005

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/532005

Therefore, the GCF of Fractions 7575/435,4380/6115 is 15/532005

Least Common Multiple of 435,6115 with GCF Formula

Least Common Multiple of 435,6115 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 435,6115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(435,6115) = 5

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

GCF(435,6115) x common factors =5 x 1 = 5

LCM(435,6115) = ( 435 × 6115 ) / 5

LCM(435,6115) = 2660025 / 5

LCM(435,6115) = 532005


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 7575/435, 4380/6115

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 7575/435, 4380/6115?

Answer: GCF of Numerators as per given numbers 7575/435, 4380/6115 is

GCF of Numerators i.e. for 7575,4380 is 15

LCM of denominators i.e. for 435,6115 is 532005.

Thus, GCF of Fractions is 15/532005.Finally, GCF of Fractions for 7575/435, 4380/6115 is 15/532005.