Greatest Common Factor of 904/19, 529/73, 948/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 904/19, 529/73, 948/120

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 904/19,529/73,948/120

Given fractions are 904/19,529/73,948/120

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 904,529,948

Greatest Common Factor of Numerators i.e. GCF of 904,529,948 is 1 .

LCM of Denominators means LCM of 19,73,120 as per the given fractions.

LCM of 19,73,120 is 166440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 904,529,948

GCF of Fractions 904/19,529/73,948/120 is 1/166440

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

Greatest Common Factor of 904,529,948 By Matching Biggest Common Factor Method

Greatest Common Factor of 904,529,948 By Matching Biggest Common Factor Method

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Greatest Common Factor

We found the factors 904,529,948 . The biggest common factor number is the GCF number.
So the greatest common factor 904,529,948 is 1.

Lets's calculate LCM of 19,73,120

Given numbers has no common factors except 1. So, there LCM is their product i.e 166440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/166440

Therefore, the GCF of Fractions 904/19,529/73,948/120 is 1/166440

Least Common Multiple of 19,73,120 with GCF Formula

Least Common Multiple of 19,73,120 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 19,73,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,73,120) = 1

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

GCF(19,73,120) x common factors =1 x 1 = 1

LCM(19,73,120) = ( 19 × 73 × 120 ) / 1

LCM(19,73,120) = 166440 / 1

LCM(19,73,120) = 166440


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 904/19, 529/73, 948/120

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 904/19, 529/73, 948/120?

Answer: GCF of Numerators as per given numbers 904/19, 529/73, 948/120 is

GCF of Numerators i.e. for 904,529,948 is 1

LCM of denominators i.e. for 19,73,120 is 166440.

Thus, GCF of Fractions is 1/166440.Finally, GCF of Fractions for 904/19, 529/73, 948/120 is 1/166440.