Greatest Common Factor of 18/25, 48/69, 969/629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 18/25, 48/69, 969/629

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 18/25,48/69,969/629

Given fractions are 18/25,48/69,969/629

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 18,48,969

Greatest Common Factor of Numerators i.e. GCF of 18,48,969 is 3 .

LCM of Denominators means LCM of 25,69,629 as per the given fractions.

LCM of 25,69,629 is 1085025 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 18,48,969

GCF of Fractions 18/25,48/69,969/629 is 3/1085025

3 18, 48, 969
6, 16, 323

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

Greatest Common Factor of 18,48,969 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,48,969 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Greatest Common Factor

We found the factors 18,48,969 . The biggest common factor number is the GCF number.
So the greatest common factor 18,48,969 is 3.

Lets's calculate LCM of 25,69,629

Given numbers has no common factors except 1. So, there LCM is their product i.e 1085025

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1085025

Therefore, the GCF of Fractions 18/25,48/69,969/629 is 3/1085025

Least Common Multiple of 25,69,629 with GCF Formula

Least Common Multiple of 25,69,629 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 25,69,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,69,629) = 1

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

GCF(25,69,629) x common factors =1 x 1 = 1

LCM(25,69,629) = ( 25 × 69 × 629 ) / 1

LCM(25,69,629) = 1085025 / 1

LCM(25,69,629) = 1085025


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 18/25, 48/69, 969/629

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 18/25, 48/69, 969/629?

Answer: GCF of Numerators as per given numbers 18/25, 48/69, 969/629 is

GCF of Numerators i.e. for 18,48,969 is 3

LCM of denominators i.e. for 25,69,629 is 1085025.

Thus, GCF of Fractions is 3/1085025.Finally, GCF of Fractions for 18/25, 48/69, 969/629 is 3/1085025.