Greatest Common Factor of 7146/32, 7620/115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7146/32, 7620/115

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 7146/32,7620/115

Given fractions are 7146/32,7620/115

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 7146,7620

Greatest Common Factor of Numerators i.e. GCF of 7146,7620 is 6 .

LCM of Denominators means LCM of 32,115 as per the given fractions.

LCM of 32,115 is 3680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7146,7620

GCF of Fractions 7146/32,7620/115 is 6/3680

2 7146, 7620
3 3573, 3810
1191, 1270

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 7146,7620 By Matching Biggest Common Factor Method

Greatest Common Factor of 7146,7620 By Matching Biggest Common Factor Method

Factors of 7146

List of positive integer factors of 7146 that divides 7146 without a remainder.

1,2,3,6,9,18,397,794,1191,2382,3573,7146

Factors of 7620

List of positive integer factors of 7620 that divides 7620 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,127,254,381,508,635,762,1270,1524,1905,2540,3810,7620

Greatest Common Factor

We found the factors 7146,7620 . The biggest common factor number is the GCF number.
So the greatest common factor 7146,7620 is 6.

Lets's calculate LCM of 32,115

Given numbers has no common factors except 1. So, there LCM is their product i.e 3680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3680

Therefore, the GCF of Fractions 7146/32,7620/115 is 6/3680

Least Common Multiple of 32,115 with GCF Formula

Least Common Multiple of 32,115 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 32,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,115) = 1

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

GCF(32,115) x common factors =1 x 1 = 1

LCM(32,115) = ( 32 × 115 ) / 1

LCM(32,115) = 3680 / 1

LCM(32,115) = 3680


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 7146/32, 7620/115

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 7146/32, 7620/115?

Answer: GCF of Numerators as per given numbers 7146/32, 7620/115 is

GCF of Numerators i.e. for 7146,7620 is 6

LCM of denominators i.e. for 32,115 is 3680.

Thus, GCF of Fractions is 6/3680.Finally, GCF of Fractions for 7146/32, 7620/115 is 6/3680.