Greatest Common Factor of 702/377, 300/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 702/377, 300/310

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 702/377,300/310

Given fractions are 702/377,300/310

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 702,300

Greatest Common Factor of Numerators i.e. GCF of 702,300 is 6 .

LCM of Denominators means LCM of 377,310 as per the given fractions.

LCM of 377,310 is 116870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 702,300

GCF of Fractions 702/377,300/310 is 6/116870

2 702, 300
3 351, 150
117, 50

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

Greatest Common Factor of 702,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 702,300 By Matching Biggest Common Factor Method

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 702,300 . The biggest common factor number is the GCF number.
So the greatest common factor 702,300 is 6.

Lets's calculate LCM of 377,310

Given numbers has no common factors except 1. So, there LCM is their product i.e 116870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/116870

Therefore, the GCF of Fractions 702/377,300/310 is 6/116870

Least Common Multiple of 377,310 with GCF Formula

Least Common Multiple of 377,310 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 377,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(377,310) = 1

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

GCF(377,310) x common factors =1 x 1 = 1

LCM(377,310) = ( 377 × 310 ) / 1

LCM(377,310) = 116870 / 1

LCM(377,310) = 116870


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 702/377, 300/310

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 702/377, 300/310?

Answer: GCF of Numerators as per given numbers 702/377, 300/310 is

GCF of Numerators i.e. for 702,300 is 6

LCM of denominators i.e. for 377,310 is 116870.

Thus, GCF of Fractions is 6/116870.Finally, GCF of Fractions for 702/377, 300/310 is 6/116870.