Greatest Common Factor of 306/416, 2550/9879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 306/416, 2550/9879

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 306/416,2550/9879

Given fractions are 306/416,2550/9879

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 306,2550

Greatest Common Factor of Numerators i.e. GCF of 306,2550 is 102 .

LCM of Denominators means LCM of 416,9879 as per the given fractions.

LCM of 416,9879 is 4109664 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 306,2550

GCF of Fractions 306/416,2550/9879 is 102/4109664

2 306, 2550
3 153, 1275
17 51, 425
3, 25

∴ So the GCF of the given numbers is 2 x 3 x 17 = 102

Greatest Common Factor of 306,2550 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,2550 By Matching Biggest Common Factor Method

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 2550

List of positive integer factors of 2550 that divides 2550 without a remainder.

1,2,3,5,6,10,15,17,25,30,34,50,51,75,85,102,150,170,255,425,510,850,1275,2550

Greatest Common Factor

We found the factors 306,2550 . The biggest common factor number is the GCF number.
So the greatest common factor 306,2550 is 102.

Lets's calculate LCM of 416,9879

Given numbers has no common factors except 1. So, there LCM is their product i.e 4109664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 102/4109664

Therefore, the GCF of Fractions 306/416,2550/9879 is 102/4109664

Least Common Multiple of 416,9879 with GCF Formula

Least Common Multiple of 416,9879 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 416,9879 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(416,9879) = 1

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

GCF(416,9879) x common factors =1 x 1 = 1

LCM(416,9879) = ( 416 × 9879 ) / 1

LCM(416,9879) = 4109664 / 1

LCM(416,9879) = 4109664


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 306/416, 2550/9879

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 306/416, 2550/9879?

Answer: GCF of Numerators as per given numbers 306/416, 2550/9879 is

GCF of Numerators i.e. for 306,2550 is 102

LCM of denominators i.e. for 416,9879 is 4109664.

Thus, GCF of Fractions is 102/4109664.Finally, GCF of Fractions for 306/416, 2550/9879 is 102/4109664.