Greatest Common Factor of 1075/290, 9122/2240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1075/290, 9122/2240

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 1075/290,9122/2240

Given fractions are 1075/290,9122/2240

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 1075,9122

Greatest Common Factor of Numerators i.e. GCF of 1075,9122 is 1 .

LCM of Denominators means LCM of 290,2240 as per the given fractions.

LCM of 290,2240 is 64960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1075,9122

GCF of Fractions 1075/290,9122/2240 is 1/64960

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

Greatest Common Factor of 1075,9122 By Matching Biggest Common Factor Method

Greatest Common Factor of 1075,9122 By Matching Biggest Common Factor Method

Factors of 1075

List of positive integer factors of 1075 that divides 1075 without a remainder.

1,5,25,43,215,1075

Factors of 9122

List of positive integer factors of 9122 that divides 9122 without a remainder.

1,2,4561,9122

Greatest Common Factor

We found the factors 1075,9122 . The biggest common factor number is the GCF number.
So the greatest common factor 1075,9122 is 1.

Lets's calculate LCM of 290,2240

2 290, 2240
5 145, 1120
29, 224

∴ So the LCM of the given numbers is 2 x 5 x 29 x 224 = 64960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64960

Therefore, the GCF of Fractions 1075/290,9122/2240 is 1/64960

Least Common Multiple of 290,2240 with GCF Formula

Least Common Multiple of 290,2240 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 290,2240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,2240) = 10

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

GCF(290,2240) x common factors =10 x 1 = 10

LCM(290,2240) = ( 290 × 2240 ) / 10

LCM(290,2240) = 649600 / 10

LCM(290,2240) = 64960


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 1075/290, 9122/2240

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 1075/290, 9122/2240?

Answer: GCF of Numerators as per given numbers 1075/290, 9122/2240 is

GCF of Numerators i.e. for 1075,9122 is 1

LCM of denominators i.e. for 290,2240 is 64960.

Thus, GCF of Fractions is 1/64960.Finally, GCF of Fractions for 1075/290, 9122/2240 is 1/64960.