Greatest Common Factor of 9365/852, 2790/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9365/852, 2790/240

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 9365/852,2790/240

Given fractions are 9365/852,2790/240

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 9365,2790

Greatest Common Factor of Numerators i.e. GCF of 9365,2790 is 5 .

LCM of Denominators means LCM of 852,240 as per the given fractions.

LCM of 852,240 is 17040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9365,2790

GCF of Fractions 9365/852,2790/240 is 5/17040

5 9365, 2790
1873, 558

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 9365,2790 By Matching Biggest Common Factor Method

Greatest Common Factor of 9365,2790 By Matching Biggest Common Factor Method

Factors of 9365

List of positive integer factors of 9365 that divides 9365 without a remainder.

1,5,1873,9365

Factors of 2790

List of positive integer factors of 2790 that divides 2790 without a remainder.

1,2,3,5,6,9,10,15,18,30,31,45,62,90,93,155,186,279,310,465,558,930,1395,2790

Greatest Common Factor

We found the factors 9365,2790 . The biggest common factor number is the GCF number.
So the greatest common factor 9365,2790 is 5.

Lets's calculate LCM of 852,240

2 852, 240
2 426, 120
3 213, 60
71, 20

∴ So the LCM of the given numbers is 2 x 2 x 3 x 71 x 20 = 17040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/17040

Therefore, the GCF of Fractions 9365/852,2790/240 is 5/17040

Least Common Multiple of 852,240 with GCF Formula

Least Common Multiple of 852,240 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 852,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,240) = 12

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

GCF(852,240) x common factors =12 x 1 = 12

LCM(852,240) = ( 852 × 240 ) / 12

LCM(852,240) = 204480 / 12

LCM(852,240) = 17040


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 9365/852, 2790/240

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 9365/852, 2790/240?

Answer: GCF of Numerators as per given numbers 9365/852, 2790/240 is

GCF of Numerators i.e. for 9365,2790 is 5

LCM of denominators i.e. for 852,240 is 17040.

Thus, GCF of Fractions is 5/17040.Finally, GCF of Fractions for 9365/852, 2790/240 is 5/17040.