Greatest Common Factor of 1149/914, 2849/2315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1149/914, 2849/2315

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 1149/914,2849/2315

Given fractions are 1149/914,2849/2315

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 1149,2849

Greatest Common Factor of Numerators i.e. GCF of 1149,2849 is 1 .

LCM of Denominators means LCM of 914,2315 as per the given fractions.

LCM of 914,2315 is 2115910 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1149,2849

GCF of Fractions 1149/914,2849/2315 is 1/2115910

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1149,2849 By Matching Biggest Common Factor Method

Greatest Common Factor of 1149,2849 By Matching Biggest Common Factor Method

Factors of 1149

List of positive integer factors of 1149 that divides 1149 without a remainder.

1,3,383,1149

Factors of 2849

List of positive integer factors of 2849 that divides 2849 without a remainder.

1,7,11,37,77,259,407,2849

Greatest Common Factor

We found the factors 1149,2849 . The biggest common factor number is the GCF number.
So the greatest common factor 1149,2849 is 1.

Lets's calculate LCM of 914,2315

Given numbers has no common factors except 1. So, there LCM is their product i.e 2115910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2115910

Therefore, the GCF of Fractions 1149/914,2849/2315 is 1/2115910

Least Common Multiple of 914,2315 with GCF Formula

Least Common Multiple of 914,2315 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 914,2315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(914,2315) = 1

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

GCF(914,2315) x common factors =1 x 1 = 1

LCM(914,2315) = ( 914 × 2315 ) / 1

LCM(914,2315) = 2115910 / 1

LCM(914,2315) = 2115910


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 1149/914, 2849/2315

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 1149/914, 2849/2315?

Answer: GCF of Numerators as per given numbers 1149/914, 2849/2315 is

GCF of Numerators i.e. for 1149,2849 is 1

LCM of denominators i.e. for 914,2315 is 2115910.

Thus, GCF of Fractions is 1/2115910.Finally, GCF of Fractions for 1149/914, 2849/2315 is 1/2115910.