Greatest Common Factor of 152/76, 778/76, 820/78

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 152/76, 778/76, 820/78

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 152/76,778/76,820/78

Given fractions are 152/76,778/76,820/78

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 152,778,820

Greatest Common Factor of Numerators i.e. GCF of 152,778,820 is 2 .

LCM of Denominators means LCM of 76,76,78 as per the given fractions.

LCM of 76,76,78 is 2964 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 152,778,820

GCF of Fractions 152/76,778/76,820/78 is 2/2964

2 152, 778, 820
76, 389, 410

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

Greatest Common Factor of 152,778,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 152,778,820 By Matching Biggest Common Factor Method

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 152,778,820 . The biggest common factor number is the GCF number.
So the greatest common factor 152,778,820 is 2.

Lets's calculate LCM of 76,76,78

2 76, 76, 78
2 38, 38, 39
19 19, 19, 39
1, 1, 39

∴ So the LCM of the given numbers is 2 x 2 x 19 x 1 x 1 x 39 = 2964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2964

Therefore, the GCF of Fractions 152/76,778/76,820/78 is 2/2964

Least Common Multiple of 76,76,78 with GCF Formula

Least Common Multiple of 76,76,78 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 76,76,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,76,78) = 2

common factors(in case of two or more numbers have common factors) = 76

GCF(76,76,78) x common factors =2 x 76 = 152

LCM(76,76,78) = ( 76 × 76 × 78 ) / 152

LCM(76,76,78) = 450528 / 152

LCM(76,76,78) = 2964


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 152/76, 778/76, 820/78

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 152/76, 778/76, 820/78?

Answer: GCF of Numerators as per given numbers 152/76, 778/76, 820/78 is

GCF of Numerators i.e. for 152,778,820 is 2

LCM of denominators i.e. for 76,76,78 is 2964.

Thus, GCF of Fractions is 2/2964.Finally, GCF of Fractions for 152/76, 778/76, 820/78 is 2/2964.