Greatest Common Factor of 2412/984, 8762/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2412/984, 8762/794

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 2412/984,8762/794

Given fractions are 2412/984,8762/794

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 2412,8762

Greatest Common Factor of Numerators i.e. GCF of 2412,8762 is 2 .

LCM of Denominators means LCM of 984,794 as per the given fractions.

LCM of 984,794 is 390648 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2412,8762

GCF of Fractions 2412/984,8762/794 is 2/390648

2 2412, 8762
1206, 4381

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

Greatest Common Factor of 2412,8762 By Matching Biggest Common Factor Method

Greatest Common Factor of 2412,8762 By Matching Biggest Common Factor Method

Factors of 2412

List of positive integer factors of 2412 that divides 2412 without a remainder.

1,2,3,4,6,9,12,18,36,67,134,201,268,402,603,804,1206,2412

Factors of 8762

List of positive integer factors of 8762 that divides 8762 without a remainder.

1,2,13,26,337,674,4381,8762

Greatest Common Factor

We found the factors 2412,8762 . The biggest common factor number is the GCF number.
So the greatest common factor 2412,8762 is 2.

Lets's calculate LCM of 984,794

2 984, 794
492, 397

∴ So the LCM of the given numbers is 2 x 492 x 397 = 390648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/390648

Therefore, the GCF of Fractions 2412/984,8762/794 is 2/390648

Least Common Multiple of 984,794 with GCF Formula

Least Common Multiple of 984,794 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 984,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,794) = 2

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

GCF(984,794) x common factors =2 x 1 = 2

LCM(984,794) = ( 984 × 794 ) / 2

LCM(984,794) = 781296 / 2

LCM(984,794) = 390648


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 2412/984, 8762/794

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 2412/984, 8762/794?

Answer: GCF of Numerators as per given numbers 2412/984, 8762/794 is

GCF of Numerators i.e. for 2412,8762 is 2

LCM of denominators i.e. for 984,794 is 390648.

Thus, GCF of Fractions is 2/390648.Finally, GCF of Fractions for 2412/984, 8762/794 is 2/390648.