Greatest Common Factor of 602/375, 2706/2075

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 602/375, 2706/2075

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 602/375,2706/2075

Given fractions are 602/375,2706/2075

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 602,2706

Greatest Common Factor of Numerators i.e. GCF of 602,2706 is 2 .

LCM of Denominators means LCM of 375,2075 as per the given fractions.

LCM of 375,2075 is 31125 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 602,2706

GCF of Fractions 602/375,2706/2075 is 2/31125

2 602, 2706
301, 1353

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

Greatest Common Factor of 602,2706 By Matching Biggest Common Factor Method

Greatest Common Factor of 602,2706 By Matching Biggest Common Factor Method

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 2706

List of positive integer factors of 2706 that divides 2706 without a remainder.

1,2,3,6,11,22,33,41,66,82,123,246,451,902,1353,2706

Greatest Common Factor

We found the factors 602,2706 . The biggest common factor number is the GCF number.
So the greatest common factor 602,2706 is 2.

Lets's calculate LCM of 375,2075

5 375, 2075
5 75, 415
15, 83

∴ So the LCM of the given numbers is 5 x 5 x 15 x 83 = 31125

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31125

Therefore, the GCF of Fractions 602/375,2706/2075 is 2/31125

Least Common Multiple of 375,2075 with GCF Formula

Least Common Multiple of 375,2075 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 375,2075 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(375,2075) = 25

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

GCF(375,2075) x common factors =25 x 1 = 25

LCM(375,2075) = ( 375 × 2075 ) / 25

LCM(375,2075) = 778125 / 25

LCM(375,2075) = 31125


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 602/375, 2706/2075

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 602/375, 2706/2075?

Answer: GCF of Numerators as per given numbers 602/375, 2706/2075 is

GCF of Numerators i.e. for 602,2706 is 2

LCM of denominators i.e. for 375,2075 is 31125.

Thus, GCF of Fractions is 2/31125.Finally, GCF of Fractions for 602/375, 2706/2075 is 2/31125.