Greatest Common Factor of 1288/853, 9723/7235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1288/853, 9723/7235

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 1288/853,9723/7235

Given fractions are 1288/853,9723/7235

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 1288,9723

Greatest Common Factor of Numerators i.e. GCF of 1288,9723 is 7 .

LCM of Denominators means LCM of 853,7235 as per the given fractions.

LCM of 853,7235 is 6171455 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1288,9723

GCF of Fractions 1288/853,9723/7235 is 7/6171455

7 1288, 9723
184, 1389

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 1288,9723 By Matching Biggest Common Factor Method

Greatest Common Factor of 1288,9723 By Matching Biggest Common Factor Method

Factors of 1288

List of positive integer factors of 1288 that divides 1288 without a remainder.

1,2,4,7,8,14,23,28,46,56,92,161,184,322,644,1288

Factors of 9723

List of positive integer factors of 9723 that divides 9723 without a remainder.

1,3,7,21,463,1389,3241,9723

Greatest Common Factor

We found the factors 1288,9723 . The biggest common factor number is the GCF number.
So the greatest common factor 1288,9723 is 7.

Lets's calculate LCM of 853,7235

Given numbers has no common factors except 1. So, there LCM is their product i.e 6171455

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/6171455

Therefore, the GCF of Fractions 1288/853,9723/7235 is 7/6171455

Least Common Multiple of 853,7235 with GCF Formula

Least Common Multiple of 853,7235 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 853,7235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(853,7235) = 1

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

GCF(853,7235) x common factors =1 x 1 = 1

LCM(853,7235) = ( 853 × 7235 ) / 1

LCM(853,7235) = 6171455 / 1

LCM(853,7235) = 6171455


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 1288/853, 9723/7235

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 1288/853, 9723/7235?

Answer: GCF of Numerators as per given numbers 1288/853, 9723/7235 is

GCF of Numerators i.e. for 1288,9723 is 7

LCM of denominators i.e. for 853,7235 is 6171455.

Thus, GCF of Fractions is 7/6171455.Finally, GCF of Fractions for 1288/853, 9723/7235 is 7/6171455.