Greatest Common Factor of 70/28, 400/13, 702/323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/28, 400/13, 702/323

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 70/28,400/13,702/323

Given fractions are 70/28,400/13,702/323

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 70,400,702

Greatest Common Factor of Numerators i.e. GCF of 70,400,702 is 2 .

LCM of Denominators means LCM of 28,13,323 as per the given fractions.

LCM of 28,13,323 is 117572 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,400,702

GCF of Fractions 70/28,400/13,702/323 is 2/117572

2 70, 400, 702
35, 200, 351

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

Greatest Common Factor of 70,400,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,400,702 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

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

Greatest Common Factor

We found the factors 70,400,702 . The biggest common factor number is the GCF number.
So the greatest common factor 70,400,702 is 2.

Lets's calculate LCM of 28,13,323

Given numbers has no common factors except 1. So, there LCM is their product i.e 117572

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/117572

Therefore, the GCF of Fractions 70/28,400/13,702/323 is 2/117572

Least Common Multiple of 28,13,323 with GCF Formula

Least Common Multiple of 28,13,323 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 28,13,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,13,323) = 1

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

GCF(28,13,323) x common factors =1 x 1 = 1

LCM(28,13,323) = ( 28 × 13 × 323 ) / 1

LCM(28,13,323) = 117572 / 1

LCM(28,13,323) = 117572


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 70/28, 400/13, 702/323

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 70/28, 400/13, 702/323?

Answer: GCF of Numerators as per given numbers 70/28, 400/13, 702/323 is

GCF of Numerators i.e. for 70,400,702 is 2

LCM of denominators i.e. for 28,13,323 is 117572.

Thus, GCF of Fractions is 2/117572.Finally, GCF of Fractions for 70/28, 400/13, 702/323 is 2/117572.