Greatest Common Factor of 2280/326, 8935/4247

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2280/326, 8935/4247

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 2280/326,8935/4247

Given fractions are 2280/326,8935/4247

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 2280,8935

Greatest Common Factor of Numerators i.e. GCF of 2280,8935 is 5 .

LCM of Denominators means LCM of 326,4247 as per the given fractions.

LCM of 326,4247 is 1384522 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2280,8935

GCF of Fractions 2280/326,8935/4247 is 5/1384522

5 2280, 8935
456, 1787

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

Greatest Common Factor of 2280,8935 By Matching Biggest Common Factor Method

Greatest Common Factor of 2280,8935 By Matching Biggest Common Factor Method

Factors of 2280

List of positive integer factors of 2280 that divides 2280 without a remainder.

1,2,3,4,5,6,8,10,12,15,19,20,24,30,38,40,57,60,76,95,114,120,152,190,228,285,380,456,570,760,1140,2280

Factors of 8935

List of positive integer factors of 8935 that divides 8935 without a remainder.

1,5,1787,8935

Greatest Common Factor

We found the factors 2280,8935 . The biggest common factor number is the GCF number.
So the greatest common factor 2280,8935 is 5.

Lets's calculate LCM of 326,4247

Given numbers has no common factors except 1. So, there LCM is their product i.e 1384522

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1384522

Therefore, the GCF of Fractions 2280/326,8935/4247 is 5/1384522

Least Common Multiple of 326,4247 with GCF Formula

Least Common Multiple of 326,4247 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 326,4247 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(326,4247) = 1

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

GCF(326,4247) x common factors =1 x 1 = 1

LCM(326,4247) = ( 326 × 4247 ) / 1

LCM(326,4247) = 1384522 / 1

LCM(326,4247) = 1384522


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 2280/326, 8935/4247

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 2280/326, 8935/4247?

Answer: GCF of Numerators as per given numbers 2280/326, 8935/4247 is

GCF of Numerators i.e. for 2280,8935 is 5

LCM of denominators i.e. for 326,4247 is 1384522.

Thus, GCF of Fractions is 5/1384522.Finally, GCF of Fractions for 2280/326, 8935/4247 is 5/1384522.