Greatest Common Factor of 78/27, 300/56, 702/533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 78/27, 300/56, 702/533

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 78/27,300/56,702/533

Given fractions are 78/27,300/56,702/533

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 78,300,702

Greatest Common Factor of Numerators i.e. GCF of 78,300,702 is 6 .

LCM of Denominators means LCM of 27,56,533 as per the given fractions.

LCM of 27,56,533 is 805896 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 78,300,702

GCF of Fractions 78/27,300/56,702/533 is 6/805896

2 78, 300, 702
3 39, 150, 351
13, 50, 117

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

Greatest Common Factor of 78,300,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,300,702 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

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

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 78,300,702 . The biggest common factor number is the GCF number.
So the greatest common factor 78,300,702 is 6.

Lets's calculate LCM of 27,56,533

Given numbers has no common factors except 1. So, there LCM is their product i.e 805896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/805896

Therefore, the GCF of Fractions 78/27,300/56,702/533 is 6/805896

Least Common Multiple of 27,56,533 with GCF Formula

Least Common Multiple of 27,56,533 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 27,56,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,56,533) = 1

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

GCF(27,56,533) x common factors =1 x 1 = 1

LCM(27,56,533) = ( 27 × 56 × 533 ) / 1

LCM(27,56,533) = 805896 / 1

LCM(27,56,533) = 805896


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 78/27, 300/56, 702/533

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 78/27, 300/56, 702/533?

Answer: GCF of Numerators as per given numbers 78/27, 300/56, 702/533 is

GCF of Numerators i.e. for 78,300,702 is 6

LCM of denominators i.e. for 27,56,533 is 805896.

Thus, GCF of Fractions is 6/805896.Finally, GCF of Fractions for 78/27, 300/56, 702/533 is 6/805896.