Greatest Common Factor of 1912/741, 4257/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1912/741, 4257/780

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 1912/741,4257/780

Given fractions are 1912/741,4257/780

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 1912,4257

Greatest Common Factor of Numerators i.e. GCF of 1912,4257 is 1 .

LCM of Denominators means LCM of 741,780 as per the given fractions.

LCM of 741,780 is 14820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1912,4257

GCF of Fractions 1912/741,4257/780 is 1/14820

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1912,4257 By Matching Biggest Common Factor Method

Greatest Common Factor of 1912,4257 By Matching Biggest Common Factor Method

Factors of 1912

List of positive integer factors of 1912 that divides 1912 without a remainder.

1,2,4,8,239,478,956,1912

Factors of 4257

List of positive integer factors of 4257 that divides 4257 without a remainder.

1,3,9,11,33,43,99,129,387,473,1419,4257

Greatest Common Factor

We found the factors 1912,4257 . The biggest common factor number is the GCF number.
So the greatest common factor 1912,4257 is 1.

Lets's calculate LCM of 741,780

3 741, 780
13 247, 260
19, 20

∴ So the LCM of the given numbers is 3 x 13 x 19 x 20 = 14820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14820

Therefore, the GCF of Fractions 1912/741,4257/780 is 1/14820

Least Common Multiple of 741,780 with GCF Formula

Least Common Multiple of 741,780 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 741,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(741,780) = 39

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

GCF(741,780) x common factors =39 x 1 = 39

LCM(741,780) = ( 741 × 780 ) / 39

LCM(741,780) = 577980 / 39

LCM(741,780) = 14820


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 1912/741, 4257/780

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 1912/741, 4257/780?

Answer: GCF of Numerators as per given numbers 1912/741, 4257/780 is

GCF of Numerators i.e. for 1912,4257 is 1

LCM of denominators i.e. for 741,780 is 14820.

Thus, GCF of Fractions is 1/14820.Finally, GCF of Fractions for 1912/741, 4257/780 is 1/14820.