Greatest Common Factor of 2400/486, 4426/5548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2400/486, 4426/5548

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 2400/486,4426/5548

Given fractions are 2400/486,4426/5548

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 2400,4426

Greatest Common Factor of Numerators i.e. GCF of 2400,4426 is 2 .

LCM of Denominators means LCM of 486,5548 as per the given fractions.

LCM of 486,5548 is 1348164 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2400,4426

GCF of Fractions 2400/486,4426/5548 is 2/1348164

2 2400, 4426
1200, 2213

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

Greatest Common Factor of 2400,4426 By Matching Biggest Common Factor Method

Greatest Common Factor of 2400,4426 By Matching Biggest Common Factor Method

Factors of 2400

List of positive integer factors of 2400 that divides 2400 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,32,40,48,50,60,75,80,96,100,120,150,160,200,240,300,400,480,600,800,1200,2400

Factors of 4426

List of positive integer factors of 4426 that divides 4426 without a remainder.

1,2,2213,4426

Greatest Common Factor

We found the factors 2400,4426 . The biggest common factor number is the GCF number.
So the greatest common factor 2400,4426 is 2.

Lets's calculate LCM of 486,5548

2 486, 5548
243, 2774

∴ So the LCM of the given numbers is 2 x 243 x 2774 = 1348164

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1348164

Therefore, the GCF of Fractions 2400/486,4426/5548 is 2/1348164

Least Common Multiple of 486,5548 with GCF Formula

Least Common Multiple of 486,5548 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 486,5548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(486,5548) = 2

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

GCF(486,5548) x common factors =2 x 1 = 2

LCM(486,5548) = ( 486 × 5548 ) / 2

LCM(486,5548) = 2696328 / 2

LCM(486,5548) = 1348164


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 2400/486, 4426/5548

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 2400/486, 4426/5548?

Answer: GCF of Numerators as per given numbers 2400/486, 4426/5548 is

GCF of Numerators i.e. for 2400,4426 is 2

LCM of denominators i.e. for 486,5548 is 1348164.

Thus, GCF of Fractions is 2/1348164.Finally, GCF of Fractions for 2400/486, 4426/5548 is 2/1348164.