Greatest Common Factor of 2400/664, 8850/616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2400/664, 8850/616

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 2400/664,8850/616

Given fractions are 2400/664,8850/616

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 2400,8850

Greatest Common Factor of Numerators i.e. GCF of 2400,8850 is 150 .

LCM of Denominators means LCM of 664,616 as per the given fractions.

LCM of 664,616 is 51128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2400,8850

GCF of Fractions 2400/664,8850/616 is 150/51128

2 2400, 8850
3 1200, 4425
5 400, 1475
5 80, 295
16, 59

∴ So the GCF of the given numbers is 2 x 3 x 5 x 5 = 150

Greatest Common Factor of 2400,8850 By Matching Biggest Common Factor Method

Greatest Common Factor of 2400,8850 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 8850

List of positive integer factors of 8850 that divides 8850 without a remainder.

1,2,3,5,6,10,15,25,30,50,59,75,118,150,177,295,354,590,885,1475,1770,2950,4425,8850

Greatest Common Factor

We found the factors 2400,8850 . The biggest common factor number is the GCF number.
So the greatest common factor 2400,8850 is 150.

Lets's calculate LCM of 664,616

2 664, 616
2 332, 308
2 166, 154
83, 77

∴ So the LCM of the given numbers is 2 x 2 x 2 x 83 x 77 = 51128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 150/51128

Therefore, the GCF of Fractions 2400/664,8850/616 is 150/51128

Least Common Multiple of 664,616 with GCF Formula

Least Common Multiple of 664,616 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 664,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(664,616) = 8

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

GCF(664,616) x common factors =8 x 1 = 8

LCM(664,616) = ( 664 × 616 ) / 8

LCM(664,616) = 409024 / 8

LCM(664,616) = 51128


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 2400/664, 8850/616

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 2400/664, 8850/616?

Answer: GCF of Numerators as per given numbers 2400/664, 8850/616 is

GCF of Numerators i.e. for 2400,8850 is 150

LCM of denominators i.e. for 664,616 is 51128.

Thus, GCF of Fractions is 150/51128.Finally, GCF of Fractions for 2400/664, 8850/616 is 150/51128.