Greatest Common Factor of 9/78, 55/78, 47/156, 465/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/78, 55/78, 47/156, 465/192

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 9/78,55/78,47/156,465/192

Given fractions are 9/78,55/78,47/156,465/192

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 9,55,47,465

Greatest Common Factor of Numerators i.e. GCF of 9,55,47,465 is 1 .

LCM of Denominators means LCM of 78,78,156,192 as per the given fractions.

LCM of 78,78,156,192 is 2496 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,55,47,465

GCF of Fractions 9/78,55/78,47/156,465/192 is 1/2496

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

Greatest Common Factor of 9,55,47,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,55,47,465 By Matching Biggest Common Factor Method

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1,3,9

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 9,55,47,465 . The biggest common factor number is the GCF number.
So the greatest common factor 9,55,47,465 is 1.

Lets's calculate LCM of 78,78,156,192

2 78, 78, 156, 192
2 39, 39, 78, 96
3 39, 39, 39, 48
13 13, 13, 13, 16
1, 1, 1, 16

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 1 x 1 x 1 x 16 = 2496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2496

Therefore, the GCF of Fractions 9/78,55/78,47/156,465/192 is 1/2496

Least Common Multiple of 78,78,156,192 with GCF Formula

Least Common Multiple of 78,78,156,192 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 78,78,156,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,78,156,192) = 6

common factors(in case of two or more numbers have common factors) = 12168

GCF(78,78,156,192) x common factors =6 x 12168 = 73008

LCM(78,78,156,192) = ( 78 × 78 × 156 × 192 ) / 73008

LCM(78,78,156,192) = 182227968 / 73008

LCM(78,78,156,192) = 2496


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 9/78, 55/78, 47/156, 465/192

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 9/78, 55/78, 47/156, 465/192?

Answer: GCF of Numerators as per given numbers 9/78, 55/78, 47/156, 465/192 is

GCF of Numerators i.e. for 9,55,47,465 is 1

LCM of denominators i.e. for 78,78,156,192 is 2496.

Thus, GCF of Fractions is 1/2496.Finally, GCF of Fractions for 9/78, 55/78, 47/156, 465/192 is 1/2496.