Greatest Common Factor of 852/48, 243/78, 820/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 852/48, 243/78, 820/322

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 852/48,243/78,820/322

Given fractions are 852/48,243/78,820/322

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 852,243,820

Greatest Common Factor of Numerators i.e. GCF of 852,243,820 is 1 .

LCM of Denominators means LCM of 48,78,322 as per the given fractions.

LCM of 48,78,322 is 100464 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 852,243,820

GCF of Fractions 852/48,243/78,820/322 is 1/100464

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

Greatest Common Factor of 852,243,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,243,820 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 852,243,820 . The biggest common factor number is the GCF number.
So the greatest common factor 852,243,820 is 1.

Lets's calculate LCM of 48,78,322

2 48, 78, 322
3 24, 39, 161
8, 13, 161

∴ So the LCM of the given numbers is 2 x 3 x 8 x 13 x 161 = 100464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100464

Therefore, the GCF of Fractions 852/48,243/78,820/322 is 1/100464

Least Common Multiple of 48,78,322 with GCF Formula

Least Common Multiple of 48,78,322 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 48,78,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,78,322) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(48,78,322) x common factors =2 x 6 = 12

LCM(48,78,322) = ( 48 × 78 × 322 ) / 12

LCM(48,78,322) = 1205568 / 12

LCM(48,78,322) = 100464


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 852/48, 243/78, 820/322

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 852/48, 243/78, 820/322?

Answer: GCF of Numerators as per given numbers 852/48, 243/78, 820/322 is

GCF of Numerators i.e. for 852,243,820 is 1

LCM of denominators i.e. for 48,78,322 is 100464.

Thus, GCF of Fractions is 1/100464.Finally, GCF of Fractions for 852/48, 243/78, 820/322 is 1/100464.