Greatest Common Factor of 486/51, 848/1912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 486/51, 848/1912

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 486/51,848/1912

Given fractions are 486/51,848/1912

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 486,848

Greatest Common Factor of Numerators i.e. GCF of 486,848 is 2 .

LCM of Denominators means LCM of 51,1912 as per the given fractions.

LCM of 51,1912 is 97512 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 486,848

GCF of Fractions 486/51,848/1912 is 2/97512

2 486, 848
243, 424

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

Greatest Common Factor of 486,848 By Matching Biggest Common Factor Method

Greatest Common Factor of 486,848 By Matching Biggest Common Factor Method

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Greatest Common Factor

We found the factors 486,848 . The biggest common factor number is the GCF number.
So the greatest common factor 486,848 is 2.

Lets's calculate LCM of 51,1912

Given numbers has no common factors except 1. So, there LCM is their product i.e 97512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/97512

Therefore, the GCF of Fractions 486/51,848/1912 is 2/97512

Least Common Multiple of 51,1912 with GCF Formula

Least Common Multiple of 51,1912 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 51,1912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,1912) = 1

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

GCF(51,1912) x common factors =1 x 1 = 1

LCM(51,1912) = ( 51 × 1912 ) / 1

LCM(51,1912) = 97512 / 1

LCM(51,1912) = 97512


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 486/51, 848/1912

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 486/51, 848/1912?

Answer: GCF of Numerators as per given numbers 486/51, 848/1912 is

GCF of Numerators i.e. for 486,848 is 2

LCM of denominators i.e. for 51,1912 is 97512.

Thus, GCF of Fractions is 2/97512.Finally, GCF of Fractions for 486/51, 848/1912 is 2/97512.