Greatest Common Factor of 3/78, 54/11, 16/695, 412/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/78, 54/11, 16/695, 412/149

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 3/78,54/11,16/695,412/149

Given fractions are 3/78,54/11,16/695,412/149

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 3,54,16,412

Greatest Common Factor of Numerators i.e. GCF of 3,54,16,412 is 1 .

LCM of Denominators means LCM of 78,11,695,149 as per the given fractions.

LCM of 78,11,695,149 is 88850190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,54,16,412

GCF of Fractions 3/78,54/11,16/695,412/149 is 1/88850190

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3,54,16,412 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,54,16,412 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Greatest Common Factor

We found the factors 3,54,16,412 . The biggest common factor number is the GCF number.
So the greatest common factor 3,54,16,412 is 1.

Lets's calculate LCM of 78,11,695,149

Given numbers has no common factors except 1. So, there LCM is their product i.e 88850190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88850190

Therefore, the GCF of Fractions 3/78,54/11,16/695,412/149 is 1/88850190

Least Common Multiple of 78,11,695,149 with GCF Formula

Least Common Multiple of 78,11,695,149 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 78,11,695,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,11,695,149) = 1

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

GCF(78,11,695,149) x common factors =1 x 1 = 1

LCM(78,11,695,149) = ( 78 × 11 × 695 × 149 ) / 1

LCM(78,11,695,149) = 88850190 / 1

LCM(78,11,695,149) = 88850190


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 3/78, 54/11, 16/695, 412/149

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 3/78, 54/11, 16/695, 412/149?

Answer: GCF of Numerators as per given numbers 3/78, 54/11, 16/695, 412/149 is

GCF of Numerators i.e. for 3,54,16,412 is 1

LCM of denominators i.e. for 78,11,695,149 is 88850190.

Thus, GCF of Fractions is 1/88850190.Finally, GCF of Fractions for 3/78, 54/11, 16/695, 412/149 is 1/88850190.