Greatest Common Factor of 1762/15, 1984/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1762/15, 1984/912

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 1762/15,1984/912

Given fractions are 1762/15,1984/912

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 1762,1984

Greatest Common Factor of Numerators i.e. GCF of 1762,1984 is 2 .

LCM of Denominators means LCM of 15,912 as per the given fractions.

LCM of 15,912 is 4560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1762,1984

GCF of Fractions 1762/15,1984/912 is 2/4560

2 1762, 1984
881, 992

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

Greatest Common Factor of 1762,1984 By Matching Biggest Common Factor Method

Greatest Common Factor of 1762,1984 By Matching Biggest Common Factor Method

Factors of 1762

List of positive integer factors of 1762 that divides 1762 without a remainder.

1,2,881,1762

Factors of 1984

List of positive integer factors of 1984 that divides 1984 without a remainder.

1,2,4,8,16,31,32,62,64,124,248,496,992,1984

Greatest Common Factor

We found the factors 1762,1984 . The biggest common factor number is the GCF number.
So the greatest common factor 1762,1984 is 2.

Lets's calculate LCM of 15,912

3 15, 912
5, 304

∴ So the LCM of the given numbers is 3 x 5 x 304 = 4560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4560

Therefore, the GCF of Fractions 1762/15,1984/912 is 2/4560

Least Common Multiple of 15,912 with GCF Formula

Least Common Multiple of 15,912 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 15,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,912) = 3

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

GCF(15,912) x common factors =3 x 1 = 3

LCM(15,912) = ( 15 × 912 ) / 3

LCM(15,912) = 13680 / 3

LCM(15,912) = 4560


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 1762/15, 1984/912

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 1762/15, 1984/912?

Answer: GCF of Numerators as per given numbers 1762/15, 1984/912 is

GCF of Numerators i.e. for 1762,1984 is 2

LCM of denominators i.e. for 15,912 is 4560.

Thus, GCF of Fractions is 2/4560.Finally, GCF of Fractions for 1762/15, 1984/912 is 2/4560.