Greatest Common Factor of 1122/299, 1635/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1122/299, 1635/896

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 1122/299,1635/896

Given fractions are 1122/299,1635/896

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 1122,1635

Greatest Common Factor of Numerators i.e. GCF of 1122,1635 is 3 .

LCM of Denominators means LCM of 299,896 as per the given fractions.

LCM of 299,896 is 267904 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1122,1635

GCF of Fractions 1122/299,1635/896 is 3/267904

3 1122, 1635
374, 545

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1122,1635 By Matching Biggest Common Factor Method

Greatest Common Factor of 1122,1635 By Matching Biggest Common Factor Method

Factors of 1122

List of positive integer factors of 1122 that divides 1122 without a remainder.

1,2,3,6,11,17,22,33,34,51,66,102,187,374,561,1122

Factors of 1635

List of positive integer factors of 1635 that divides 1635 without a remainder.

1,3,5,15,109,327,545,1635

Greatest Common Factor

We found the factors 1122,1635 . The biggest common factor number is the GCF number.
So the greatest common factor 1122,1635 is 3.

Lets's calculate LCM of 299,896

Given numbers has no common factors except 1. So, there LCM is their product i.e 267904

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/267904

Therefore, the GCF of Fractions 1122/299,1635/896 is 3/267904

Least Common Multiple of 299,896 with GCF Formula

Least Common Multiple of 299,896 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 299,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,896) = 1

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

GCF(299,896) x common factors =1 x 1 = 1

LCM(299,896) = ( 299 × 896 ) / 1

LCM(299,896) = 267904 / 1

LCM(299,896) = 267904


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 1122/299, 1635/896

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 1122/299, 1635/896?

Answer: GCF of Numerators as per given numbers 1122/299, 1635/896 is

GCF of Numerators i.e. for 1122,1635 is 3

LCM of denominators i.e. for 299,896 is 267904.

Thus, GCF of Fractions is 3/267904.Finally, GCF of Fractions for 1122/299, 1635/896 is 3/267904.