Greatest Common Factor of 9753/17, 8840/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9753/17, 8840/222

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 9753/17,8840/222

Given fractions are 9753/17,8840/222

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 9753,8840

Greatest Common Factor of Numerators i.e. GCF of 9753,8840 is 1 .

LCM of Denominators means LCM of 17,222 as per the given fractions.

LCM of 17,222 is 3774 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9753,8840

GCF of Fractions 9753/17,8840/222 is 1/3774

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

Greatest Common Factor of 9753,8840 By Matching Biggest Common Factor Method

Greatest Common Factor of 9753,8840 By Matching Biggest Common Factor Method

Factors of 9753

List of positive integer factors of 9753 that divides 9753 without a remainder.

1,3,3251,9753

Factors of 8840

List of positive integer factors of 8840 that divides 8840 without a remainder.

1,2,4,5,8,10,13,17,20,26,34,40,52,65,68,85,104,130,136,170,221,260,340,442,520,680,884,1105,1768,2210,4420,8840

Greatest Common Factor

We found the factors 9753,8840 . The biggest common factor number is the GCF number.
So the greatest common factor 9753,8840 is 1.

Lets's calculate LCM of 17,222

Given numbers has no common factors except 1. So, there LCM is their product i.e 3774

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3774

Therefore, the GCF of Fractions 9753/17,8840/222 is 1/3774

Least Common Multiple of 17,222 with GCF Formula

Least Common Multiple of 17,222 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 17,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,222) = 1

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

GCF(17,222) x common factors =1 x 1 = 1

LCM(17,222) = ( 17 × 222 ) / 1

LCM(17,222) = 3774 / 1

LCM(17,222) = 3774


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 9753/17, 8840/222

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 9753/17, 8840/222?

Answer: GCF of Numerators as per given numbers 9753/17, 8840/222 is

GCF of Numerators i.e. for 9753,8840 is 1

LCM of denominators i.e. for 17,222 is 3774.

Thus, GCF of Fractions is 1/3774.Finally, GCF of Fractions for 9753/17, 8840/222 is 1/3774.