Greatest Common Factor of 1614/240, 9724/8903

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1614/240, 9724/8903

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 1614/240,9724/8903

Given fractions are 1614/240,9724/8903

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 1614,9724

Greatest Common Factor of Numerators i.e. GCF of 1614,9724 is 2 .

LCM of Denominators means LCM of 240,8903 as per the given fractions.

LCM of 240,8903 is 2136720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1614,9724

GCF of Fractions 1614/240,9724/8903 is 2/2136720

2 1614, 9724
807, 4862

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1614,9724 By Matching Biggest Common Factor Method

Greatest Common Factor of 1614,9724 By Matching Biggest Common Factor Method

Factors of 1614

List of positive integer factors of 1614 that divides 1614 without a remainder.

1,2,3,6,269,538,807,1614

Factors of 9724

List of positive integer factors of 9724 that divides 9724 without a remainder.

1,2,4,11,13,17,22,26,34,44,52,68,143,187,221,286,374,442,572,748,884,2431,4862,9724

Greatest Common Factor

We found the factors 1614,9724 . The biggest common factor number is the GCF number.
So the greatest common factor 1614,9724 is 2.

Lets's calculate LCM of 240,8903

Given numbers has no common factors except 1. So, there LCM is their product i.e 2136720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2136720

Therefore, the GCF of Fractions 1614/240,9724/8903 is 2/2136720

Least Common Multiple of 240,8903 with GCF Formula

Least Common Multiple of 240,8903 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 240,8903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,8903) = 1

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

GCF(240,8903) x common factors =1 x 1 = 1

LCM(240,8903) = ( 240 × 8903 ) / 1

LCM(240,8903) = 2136720 / 1

LCM(240,8903) = 2136720


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 1614/240, 9724/8903

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 1614/240, 9724/8903?

Answer: GCF of Numerators as per given numbers 1614/240, 9724/8903 is

GCF of Numerators i.e. for 1614,9724 is 2

LCM of denominators i.e. for 240,8903 is 2136720.

Thus, GCF of Fractions is 2/2136720.Finally, GCF of Fractions for 1614/240, 9724/8903 is 2/2136720.