Greatest Common Factor of 77/412, 924/493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 77/412, 924/493

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 77/412,924/493

Given fractions are 77/412,924/493

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 77,924

Greatest Common Factor of Numerators i.e. GCF of 77,924 is 77 .

LCM of Denominators means LCM of 412,493 as per the given fractions.

LCM of 412,493 is 203116 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 77,924

GCF of Fractions 77/412,924/493 is 77/203116

7 77, 924
11 11, 132
1, 12

∴ So the GCF of the given numbers is 7 x 11 = 77

Greatest Common Factor of 77,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,924 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 77,924 . The biggest common factor number is the GCF number.
So the greatest common factor 77,924 is 77.

Lets's calculate LCM of 412,493

Given numbers has no common factors except 1. So, there LCM is their product i.e 203116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 77/203116

Therefore, the GCF of Fractions 77/412,924/493 is 77/203116

Least Common Multiple of 412,493 with GCF Formula

Least Common Multiple of 412,493 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 412,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,493) = 1

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

GCF(412,493) x common factors =1 x 1 = 1

LCM(412,493) = ( 412 × 493 ) / 1

LCM(412,493) = 203116 / 1

LCM(412,493) = 203116


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 77/412, 924/493

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 77/412, 924/493?

Answer: GCF of Numerators as per given numbers 77/412, 924/493 is

GCF of Numerators i.e. for 77,924 is 77

LCM of denominators i.e. for 412,493 is 203116.

Thus, GCF of Fractions is 77/203116.Finally, GCF of Fractions for 77/412, 924/493 is 77/203116.