Greatest Common Factor of 1468/387, 3768/9074

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1468/387, 3768/9074

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 1468/387,3768/9074

Given fractions are 1468/387,3768/9074

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 1468,3768

Greatest Common Factor of Numerators i.e. GCF of 1468,3768 is 4 .

LCM of Denominators means LCM of 387,9074 as per the given fractions.

LCM of 387,9074 is 3511638 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1468,3768

GCF of Fractions 1468/387,3768/9074 is 4/3511638

2 1468, 3768
2 734, 1884
367, 942

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1468,3768 By Matching Biggest Common Factor Method

Greatest Common Factor of 1468,3768 By Matching Biggest Common Factor Method

Factors of 1468

List of positive integer factors of 1468 that divides 1468 without a remainder.

1,2,4,367,734,1468

Factors of 3768

List of positive integer factors of 3768 that divides 3768 without a remainder.

1,2,3,4,6,8,12,24,157,314,471,628,942,1256,1884,3768

Greatest Common Factor

We found the factors 1468,3768 . The biggest common factor number is the GCF number.
So the greatest common factor 1468,3768 is 4.

Lets's calculate LCM of 387,9074

Given numbers has no common factors except 1. So, there LCM is their product i.e 3511638

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3511638

Therefore, the GCF of Fractions 1468/387,3768/9074 is 4/3511638

Least Common Multiple of 387,9074 with GCF Formula

Least Common Multiple of 387,9074 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 387,9074 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,9074) = 1

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

GCF(387,9074) x common factors =1 x 1 = 1

LCM(387,9074) = ( 387 × 9074 ) / 1

LCM(387,9074) = 3511638 / 1

LCM(387,9074) = 3511638


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 1468/387, 3768/9074

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 1468/387, 3768/9074?

Answer: GCF of Numerators as per given numbers 1468/387, 3768/9074 is

GCF of Numerators i.e. for 1468,3768 is 4

LCM of denominators i.e. for 387,9074 is 3511638.

Thus, GCF of Fractions is 4/3511638.Finally, GCF of Fractions for 1468/387, 3768/9074 is 4/3511638.