Greatest Common Factor of 54/975, 849/737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 54/975, 849/737

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 54/975,849/737

Given fractions are 54/975,849/737

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 54,849

Greatest Common Factor of Numerators i.e. GCF of 54,849 is 3 .

LCM of Denominators means LCM of 975,737 as per the given fractions.

LCM of 975,737 is 718575 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 54,849

GCF of Fractions 54/975,849/737 is 3/718575

3 54, 849
18, 283

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 54,849 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,849 By Matching Biggest Common Factor Method

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 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Greatest Common Factor

We found the factors 54,849 . The biggest common factor number is the GCF number.
So the greatest common factor 54,849 is 3.

Lets's calculate LCM of 975,737

Given numbers has no common factors except 1. So, there LCM is their product i.e 718575

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/718575

Therefore, the GCF of Fractions 54/975,849/737 is 3/718575

Least Common Multiple of 975,737 with GCF Formula

Least Common Multiple of 975,737 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 975,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,737) = 1

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

GCF(975,737) x common factors =1 x 1 = 1

LCM(975,737) = ( 975 × 737 ) / 1

LCM(975,737) = 718575 / 1

LCM(975,737) = 718575


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 54/975, 849/737

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 54/975, 849/737?

Answer: GCF of Numerators as per given numbers 54/975, 849/737 is

GCF of Numerators i.e. for 54,849 is 3

LCM of denominators i.e. for 975,737 is 718575.

Thus, GCF of Fractions is 3/718575.Finally, GCF of Fractions for 54/975, 849/737 is 3/718575.