Greatest Common Factor of 9912/343, 1977/660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9912/343, 1977/660

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 9912/343,1977/660

Given fractions are 9912/343,1977/660

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 9912,1977

Greatest Common Factor of Numerators i.e. GCF of 9912,1977 is 3 .

LCM of Denominators means LCM of 343,660 as per the given fractions.

LCM of 343,660 is 226380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9912,1977

GCF of Fractions 9912/343,1977/660 is 3/226380

3 9912, 1977
3304, 659

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9912,1977 By Matching Biggest Common Factor Method

Greatest Common Factor of 9912,1977 By Matching Biggest Common Factor Method

Factors of 9912

List of positive integer factors of 9912 that divides 9912 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,59,84,118,168,177,236,354,413,472,708,826,1239,1416,1652,2478,3304,4956,9912

Factors of 1977

List of positive integer factors of 1977 that divides 1977 without a remainder.

1,3,659,1977

Greatest Common Factor

We found the factors 9912,1977 . The biggest common factor number is the GCF number.
So the greatest common factor 9912,1977 is 3.

Lets's calculate LCM of 343,660

Given numbers has no common factors except 1. So, there LCM is their product i.e 226380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/226380

Therefore, the GCF of Fractions 9912/343,1977/660 is 3/226380

Least Common Multiple of 343,660 with GCF Formula

Least Common Multiple of 343,660 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 343,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,660) = 1

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

GCF(343,660) x common factors =1 x 1 = 1

LCM(343,660) = ( 343 × 660 ) / 1

LCM(343,660) = 226380 / 1

LCM(343,660) = 226380


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 9912/343, 1977/660

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 9912/343, 1977/660?

Answer: GCF of Numerators as per given numbers 9912/343, 1977/660 is

GCF of Numerators i.e. for 9912,1977 is 3

LCM of denominators i.e. for 343,660 is 226380.

Thus, GCF of Fractions is 3/226380.Finally, GCF of Fractions for 9912/343, 1977/660 is 3/226380.