Greatest Common Factor of 754/462, 1812/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 754/462, 1812/312

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 754/462,1812/312

Given fractions are 754/462,1812/312

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 754,1812

Greatest Common Factor of Numerators i.e. GCF of 754,1812 is 2 .

LCM of Denominators means LCM of 462,312 as per the given fractions.

LCM of 462,312 is 24024 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 754,1812

GCF of Fractions 754/462,1812/312 is 2/24024

2 754, 1812
377, 906

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

Greatest Common Factor of 754,1812 By Matching Biggest Common Factor Method

Greatest Common Factor of 754,1812 By Matching Biggest Common Factor Method

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Factors of 1812

List of positive integer factors of 1812 that divides 1812 without a remainder.

1,2,3,4,6,12,151,302,453,604,906,1812

Greatest Common Factor

We found the factors 754,1812 . The biggest common factor number is the GCF number.
So the greatest common factor 754,1812 is 2.

Lets's calculate LCM of 462,312

2 462, 312
3 231, 156
77, 52

∴ So the LCM of the given numbers is 2 x 3 x 77 x 52 = 24024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24024

Therefore, the GCF of Fractions 754/462,1812/312 is 2/24024

Least Common Multiple of 462,312 with GCF Formula

Least Common Multiple of 462,312 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 462,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,312) = 6

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

GCF(462,312) x common factors =6 x 1 = 6

LCM(462,312) = ( 462 × 312 ) / 6

LCM(462,312) = 144144 / 6

LCM(462,312) = 24024


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 754/462, 1812/312

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 754/462, 1812/312?

Answer: GCF of Numerators as per given numbers 754/462, 1812/312 is

GCF of Numerators i.e. for 754,1812 is 2

LCM of denominators i.e. for 462,312 is 24024.

Thus, GCF of Fractions is 2/24024.Finally, GCF of Fractions for 754/462, 1812/312 is 2/24024.