Greatest Common Factor of 1169/450, 8452/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1169/450, 8452/675

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 1169/450,8452/675

Given fractions are 1169/450,8452/675

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 1169,8452

Greatest Common Factor of Numerators i.e. GCF of 1169,8452 is 1 .

LCM of Denominators means LCM of 450,675 as per the given fractions.

LCM of 450,675 is 1350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1169,8452

GCF of Fractions 1169/450,8452/675 is 1/1350

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

Greatest Common Factor of 1169,8452 By Matching Biggest Common Factor Method

Greatest Common Factor of 1169,8452 By Matching Biggest Common Factor Method

Factors of 1169

List of positive integer factors of 1169 that divides 1169 without a remainder.

1,7,167,1169

Factors of 8452

List of positive integer factors of 8452 that divides 8452 without a remainder.

1,2,4,2113,4226,8452

Greatest Common Factor

We found the factors 1169,8452 . The biggest common factor number is the GCF number.
So the greatest common factor 1169,8452 is 1.

Lets's calculate LCM of 450,675

3 450, 675
3 150, 225
5 50, 75
5 10, 15
2, 3

∴ So the LCM of the given numbers is 3 x 3 x 5 x 5 x 2 x 3 = 1350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1350

Therefore, the GCF of Fractions 1169/450,8452/675 is 1/1350

Least Common Multiple of 450,675 with GCF Formula

Least Common Multiple of 450,675 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 450,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,675) = 225

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

GCF(450,675) x common factors =225 x 1 = 225

LCM(450,675) = ( 450 × 675 ) / 225

LCM(450,675) = 303750 / 225

LCM(450,675) = 1350


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 1169/450, 8452/675

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 1169/450, 8452/675?

Answer: GCF of Numerators as per given numbers 1169/450, 8452/675 is

GCF of Numerators i.e. for 1169,8452 is 1

LCM of denominators i.e. for 450,675 is 1350.

Thus, GCF of Fractions is 1/1350.Finally, GCF of Fractions for 1169/450, 8452/675 is 1/1350.