Greatest Common Factor of 3075/316, 7029/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3075/316, 7029/792

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 3075/316,7029/792

Given fractions are 3075/316,7029/792

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 3075,7029

Greatest Common Factor of Numerators i.e. GCF of 3075,7029 is 3 .

LCM of Denominators means LCM of 316,792 as per the given fractions.

LCM of 316,792 is 62568 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3075,7029

GCF of Fractions 3075/316,7029/792 is 3/62568

3 3075, 7029
1025, 2343

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3075,7029 By Matching Biggest Common Factor Method

Greatest Common Factor of 3075,7029 By Matching Biggest Common Factor Method

Factors of 3075

List of positive integer factors of 3075 that divides 3075 without a remainder.

1,3,5,15,25,41,75,123,205,615,1025,3075

Factors of 7029

List of positive integer factors of 7029 that divides 7029 without a remainder.

1,3,9,11,33,71,99,213,639,781,2343,7029

Greatest Common Factor

We found the factors 3075,7029 . The biggest common factor number is the GCF number.
So the greatest common factor 3075,7029 is 3.

Lets's calculate LCM of 316,792

2 316, 792
2 158, 396
79, 198

∴ So the LCM of the given numbers is 2 x 2 x 79 x 198 = 62568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/62568

Therefore, the GCF of Fractions 3075/316,7029/792 is 3/62568

Least Common Multiple of 316,792 with GCF Formula

Least Common Multiple of 316,792 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 316,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(316,792) = 4

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

GCF(316,792) x common factors =4 x 1 = 4

LCM(316,792) = ( 316 × 792 ) / 4

LCM(316,792) = 250272 / 4

LCM(316,792) = 62568


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 3075/316, 7029/792

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 3075/316, 7029/792?

Answer: GCF of Numerators as per given numbers 3075/316, 7029/792 is

GCF of Numerators i.e. for 3075,7029 is 3

LCM of denominators i.e. for 316,792 is 62568.

Thus, GCF of Fractions is 3/62568.Finally, GCF of Fractions for 3075/316, 7029/792 is 3/62568.