Greatest Common Factor of 48/322, 51/405, 442/997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/322, 51/405, 442/997

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 48/322,51/405,442/997

Given fractions are 48/322,51/405,442/997

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 48,51,442

Greatest Common Factor of Numerators i.e. GCF of 48,51,442 is 1 .

LCM of Denominators means LCM of 322,405,997 as per the given fractions.

LCM of 322,405,997 is 130018770 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,51,442

GCF of Fractions 48/322,51/405,442/997 is 1/130018770

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

Greatest Common Factor of 48,51,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,51,442 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 48,51,442 . The biggest common factor number is the GCF number.
So the greatest common factor 48,51,442 is 1.

Lets's calculate LCM of 322,405,997

Given numbers has no common factors except 1. So, there LCM is their product i.e 130018770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130018770

Therefore, the GCF of Fractions 48/322,51/405,442/997 is 1/130018770

Least Common Multiple of 322,405,997 with GCF Formula

Least Common Multiple of 322,405,997 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 322,405,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(322,405,997) = 1

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

GCF(322,405,997) x common factors =1 x 1 = 1

LCM(322,405,997) = ( 322 × 405 × 997 ) / 1

LCM(322,405,997) = 130018770 / 1

LCM(322,405,997) = 130018770


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 48/322, 51/405, 442/997

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 48/322, 51/405, 442/997?

Answer: GCF of Numerators as per given numbers 48/322, 51/405, 442/997 is

GCF of Numerators i.e. for 48,51,442 is 1

LCM of denominators i.e. for 322,405,997 is 130018770.

Thus, GCF of Fractions is 1/130018770.Finally, GCF of Fractions for 48/322, 51/405, 442/997 is 1/130018770.