Greatest Common Factor of 96/871, 42/333, 546/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 96/871, 42/333, 546/365

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 96/871,42/333,546/365

Given fractions are 96/871,42/333,546/365

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 96,42,546

Greatest Common Factor of Numerators i.e. GCF of 96,42,546 is 6 .

LCM of Denominators means LCM of 871,333,365 as per the given fractions.

LCM of 871,333,365 is 105865695 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 96,42,546

GCF of Fractions 96/871,42/333,546/365 is 6/105865695

2 96, 42, 546
3 48, 21, 273
16, 7, 91

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 96,42,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,42,546 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 96,42,546 . The biggest common factor number is the GCF number.
So the greatest common factor 96,42,546 is 6.

Lets's calculate LCM of 871,333,365

Given numbers has no common factors except 1. So, there LCM is their product i.e 105865695

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/105865695

Therefore, the GCF of Fractions 96/871,42/333,546/365 is 6/105865695

Least Common Multiple of 871,333,365 with GCF Formula

Least Common Multiple of 871,333,365 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 871,333,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(871,333,365) = 1

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

GCF(871,333,365) x common factors =1 x 1 = 1

LCM(871,333,365) = ( 871 × 333 × 365 ) / 1

LCM(871,333,365) = 105865695 / 1

LCM(871,333,365) = 105865695


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 96/871, 42/333, 546/365

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 96/871, 42/333, 546/365?

Answer: GCF of Numerators as per given numbers 96/871, 42/333, 546/365 is

GCF of Numerators i.e. for 96,42,546 is 6

LCM of denominators i.e. for 871,333,365 is 105865695.

Thus, GCF of Fractions is 6/105865695.Finally, GCF of Fractions for 96/871, 42/333, 546/365 is 6/105865695.