Greatest Common Factor of 2898/318, 4130/821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2898/318, 4130/821

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 2898/318,4130/821

Given fractions are 2898/318,4130/821

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 2898,4130

Greatest Common Factor of Numerators i.e. GCF of 2898,4130 is 14 .

LCM of Denominators means LCM of 318,821 as per the given fractions.

LCM of 318,821 is 261078 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2898,4130

GCF of Fractions 2898/318,4130/821 is 14/261078

2 2898, 4130
7 1449, 2065
207, 295

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 2898,4130 By Matching Biggest Common Factor Method

Greatest Common Factor of 2898,4130 By Matching Biggest Common Factor Method

Factors of 2898

List of positive integer factors of 2898 that divides 2898 without a remainder.

1,2,3,6,7,9,14,18,21,23,42,46,63,69,126,138,161,207,322,414,483,966,1449,2898

Factors of 4130

List of positive integer factors of 4130 that divides 4130 without a remainder.

1,2,5,7,10,14,35,59,70,118,295,413,590,826,2065,4130

Greatest Common Factor

We found the factors 2898,4130 . The biggest common factor number is the GCF number.
So the greatest common factor 2898,4130 is 14.

Lets's calculate LCM of 318,821

Given numbers has no common factors except 1. So, there LCM is their product i.e 261078

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/261078

Therefore, the GCF of Fractions 2898/318,4130/821 is 14/261078

Least Common Multiple of 318,821 with GCF Formula

Least Common Multiple of 318,821 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 318,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(318,821) = 1

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

GCF(318,821) x common factors =1 x 1 = 1

LCM(318,821) = ( 318 × 821 ) / 1

LCM(318,821) = 261078 / 1

LCM(318,821) = 261078


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 2898/318, 4130/821

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 2898/318, 4130/821?

Answer: GCF of Numerators as per given numbers 2898/318, 4130/821 is

GCF of Numerators i.e. for 2898,4130 is 14

LCM of denominators i.e. for 318,821 is 261078.

Thus, GCF of Fractions is 14/261078.Finally, GCF of Fractions for 2898/318, 4130/821 is 14/261078.