Greatest Common Factor of 4450/10, 1289/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4450/10, 1289/118

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 4450/10,1289/118

Given fractions are 4450/10,1289/118

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 4450,1289

Greatest Common Factor of Numerators i.e. GCF of 4450,1289 is 1 .

LCM of Denominators means LCM of 10,118 as per the given fractions.

LCM of 10,118 is 590 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4450,1289

GCF of Fractions 4450/10,1289/118 is 1/590

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

Greatest Common Factor of 4450,1289 By Matching Biggest Common Factor Method

Greatest Common Factor of 4450,1289 By Matching Biggest Common Factor Method

Factors of 4450

List of positive integer factors of 4450 that divides 4450 without a remainder.

1,2,5,10,25,50,89,178,445,890,2225,4450

Factors of 1289

List of positive integer factors of 1289 that divides 1289 without a remainder.

1,1289

Greatest Common Factor

We found the factors 4450,1289 . The biggest common factor number is the GCF number.
So the greatest common factor 4450,1289 is 1.

Lets's calculate LCM of 10,118

2 10, 118
5, 59

∴ So the LCM of the given numbers is 2 x 5 x 59 = 590

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/590

Therefore, the GCF of Fractions 4450/10,1289/118 is 1/590

Least Common Multiple of 10,118 with GCF Formula

Least Common Multiple of 10,118 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 10,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,118) = 2

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

GCF(10,118) x common factors =2 x 1 = 2

LCM(10,118) = ( 10 × 118 ) / 2

LCM(10,118) = 1180 / 2

LCM(10,118) = 590


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 4450/10, 1289/118

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 4450/10, 1289/118?

Answer: GCF of Numerators as per given numbers 4450/10, 1289/118 is

GCF of Numerators i.e. for 4450,1289 is 1

LCM of denominators i.e. for 10,118 is 590.

Thus, GCF of Fractions is 1/590.Finally, GCF of Fractions for 4450/10, 1289/118 is 1/590.