Greatest Common Factor of 1418/57, 2898/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1418/57, 2898/154

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 1418/57,2898/154

Given fractions are 1418/57,2898/154

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 1418,2898

Greatest Common Factor of Numerators i.e. GCF of 1418,2898 is 2 .

LCM of Denominators means LCM of 57,154 as per the given fractions.

LCM of 57,154 is 8778 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1418,2898

GCF of Fractions 1418/57,2898/154 is 2/8778

2 1418, 2898
709, 1449

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

Greatest Common Factor of 1418,2898 By Matching Biggest Common Factor Method

Greatest Common Factor of 1418,2898 By Matching Biggest Common Factor Method

Factors of 1418

List of positive integer factors of 1418 that divides 1418 without a remainder.

1,2,709,1418

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

Greatest Common Factor

We found the factors 1418,2898 . The biggest common factor number is the GCF number.
So the greatest common factor 1418,2898 is 2.

Lets's calculate LCM of 57,154

Given numbers has no common factors except 1. So, there LCM is their product i.e 8778

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8778

Therefore, the GCF of Fractions 1418/57,2898/154 is 2/8778

Least Common Multiple of 57,154 with GCF Formula

Least Common Multiple of 57,154 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 57,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,154) = 1

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

GCF(57,154) x common factors =1 x 1 = 1

LCM(57,154) = ( 57 × 154 ) / 1

LCM(57,154) = 8778 / 1

LCM(57,154) = 8778


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 1418/57, 2898/154

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 1418/57, 2898/154?

Answer: GCF of Numerators as per given numbers 1418/57, 2898/154 is

GCF of Numerators i.e. for 1418,2898 is 2

LCM of denominators i.e. for 57,154 is 8778.

Thus, GCF of Fractions is 2/8778.Finally, GCF of Fractions for 1418/57, 2898/154 is 2/8778.