Greatest Common Factor of 2750/16, 8900/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2750/16, 8900/594

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 2750/16,8900/594

Given fractions are 2750/16,8900/594

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 2750,8900

Greatest Common Factor of Numerators i.e. GCF of 2750,8900 is 50 .

LCM of Denominators means LCM of 16,594 as per the given fractions.

LCM of 16,594 is 4752 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2750,8900

GCF of Fractions 2750/16,8900/594 is 50/4752

2 2750, 8900
5 1375, 4450
5 275, 890
55, 178

∴ So the GCF of the given numbers is 2 x 5 x 5 = 50

Greatest Common Factor of 2750,8900 By Matching Biggest Common Factor Method

Greatest Common Factor of 2750,8900 By Matching Biggest Common Factor Method

Factors of 2750

List of positive integer factors of 2750 that divides 2750 without a remainder.

1,2,5,10,11,22,25,50,55,110,125,250,275,550,1375,2750

Factors of 8900

List of positive integer factors of 8900 that divides 8900 without a remainder.

1,2,4,5,10,20,25,50,89,100,178,356,445,890,1780,2225,4450,8900

Greatest Common Factor

We found the factors 2750,8900 . The biggest common factor number is the GCF number.
So the greatest common factor 2750,8900 is 50.

Lets's calculate LCM of 16,594

2 16, 594
8, 297

∴ So the LCM of the given numbers is 2 x 8 x 297 = 4752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 50/4752

Therefore, the GCF of Fractions 2750/16,8900/594 is 50/4752

Least Common Multiple of 16,594 with GCF Formula

Least Common Multiple of 16,594 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 16,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,594) = 2

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

GCF(16,594) x common factors =2 x 1 = 2

LCM(16,594) = ( 16 × 594 ) / 2

LCM(16,594) = 9504 / 2

LCM(16,594) = 4752


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 2750/16, 8900/594

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 2750/16, 8900/594?

Answer: GCF of Numerators as per given numbers 2750/16, 8900/594 is

GCF of Numerators i.e. for 2750,8900 is 50

LCM of denominators i.e. for 16,594 is 4752.

Thus, GCF of Fractions is 50/4752.Finally, GCF of Fractions for 2750/16, 8900/594 is 50/4752.