Greatest Common Factor of 2996/584, 9250/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2996/584, 9250/426

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 2996/584,9250/426

Given fractions are 2996/584,9250/426

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 2996,9250

Greatest Common Factor of Numerators i.e. GCF of 2996,9250 is 2 .

LCM of Denominators means LCM of 584,426 as per the given fractions.

LCM of 584,426 is 124392 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2996,9250

GCF of Fractions 2996/584,9250/426 is 2/124392

2 2996, 9250
1498, 4625

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

Greatest Common Factor of 2996,9250 By Matching Biggest Common Factor Method

Greatest Common Factor of 2996,9250 By Matching Biggest Common Factor Method

Factors of 2996

List of positive integer factors of 2996 that divides 2996 without a remainder.

1,2,4,7,14,28,107,214,428,749,1498,2996

Factors of 9250

List of positive integer factors of 9250 that divides 9250 without a remainder.

1,2,5,10,25,37,50,74,125,185,250,370,925,1850,4625,9250

Greatest Common Factor

We found the factors 2996,9250 . The biggest common factor number is the GCF number.
So the greatest common factor 2996,9250 is 2.

Lets's calculate LCM of 584,426

2 584, 426
292, 213

∴ So the LCM of the given numbers is 2 x 292 x 213 = 124392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/124392

Therefore, the GCF of Fractions 2996/584,9250/426 is 2/124392

Least Common Multiple of 584,426 with GCF Formula

Least Common Multiple of 584,426 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 584,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,426) = 2

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

GCF(584,426) x common factors =2 x 1 = 2

LCM(584,426) = ( 584 × 426 ) / 2

LCM(584,426) = 248784 / 2

LCM(584,426) = 124392


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 2996/584, 9250/426

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 2996/584, 9250/426?

Answer: GCF of Numerators as per given numbers 2996/584, 9250/426 is

GCF of Numerators i.e. for 2996,9250 is 2

LCM of denominators i.e. for 584,426 is 124392.

Thus, GCF of Fractions is 2/124392.Finally, GCF of Fractions for 2996/584, 9250/426 is 2/124392.