Greatest Common Factor of 488/45, 428/78, 852/18

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 488/45, 428/78, 852/18

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 488/45,428/78,852/18

Given fractions are 488/45,428/78,852/18

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 488,428,852

Greatest Common Factor of Numerators i.e. GCF of 488,428,852 is 4 .

LCM of Denominators means LCM of 45,78,18 as per the given fractions.

LCM of 45,78,18 is 1170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 488,428,852

GCF of Fractions 488/45,428/78,852/18 is 4/1170

2 488, 428, 852
2 244, 214, 426
122, 107, 213

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 488,428,852 By Matching Biggest Common Factor Method

Greatest Common Factor of 488,428,852 By Matching Biggest Common Factor Method

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

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

Greatest Common Factor

We found the factors 488,428,852 . The biggest common factor number is the GCF number.
So the greatest common factor 488,428,852 is 4.

Lets's calculate LCM of 45,78,18

2 45, 78, 18
3 45, 39, 9
3 15, 13, 3
5, 13, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 13 x 1 = 1170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1170

Therefore, the GCF of Fractions 488/45,428/78,852/18 is 4/1170

Least Common Multiple of 45,78,18 with GCF Formula

Least Common Multiple of 45,78,18 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 45,78,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,78,18) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(45,78,18) x common factors =3 x 18 = 54

LCM(45,78,18) = ( 45 × 78 × 18 ) / 54

LCM(45,78,18) = 63180 / 54

LCM(45,78,18) = 1170


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 488/45, 428/78, 852/18

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 488/45, 428/78, 852/18?

Answer: GCF of Numerators as per given numbers 488/45, 428/78, 852/18 is

GCF of Numerators i.e. for 488,428,852 is 4

LCM of denominators i.e. for 45,78,18 is 1170.

Thus, GCF of Fractions is 4/1170.Finally, GCF of Fractions for 488/45, 428/78, 852/18 is 4/1170.