Greatest Common Factor of 9284/223, 3870/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9284/223, 3870/142

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 9284/223,3870/142

Given fractions are 9284/223,3870/142

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 9284,3870

Greatest Common Factor of Numerators i.e. GCF of 9284,3870 is 2 .

LCM of Denominators means LCM of 223,142 as per the given fractions.

LCM of 223,142 is 31666 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9284,3870

GCF of Fractions 9284/223,3870/142 is 2/31666

2 9284, 3870
4642, 1935

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

Greatest Common Factor of 9284,3870 By Matching Biggest Common Factor Method

Greatest Common Factor of 9284,3870 By Matching Biggest Common Factor Method

Factors of 9284

List of positive integer factors of 9284 that divides 9284 without a remainder.

1,2,4,11,22,44,211,422,844,2321,4642,9284

Factors of 3870

List of positive integer factors of 3870 that divides 3870 without a remainder.

1,2,3,5,6,9,10,15,18,30,43,45,86,90,129,215,258,387,430,645,774,1290,1935,3870

Greatest Common Factor

We found the factors 9284,3870 . The biggest common factor number is the GCF number.
So the greatest common factor 9284,3870 is 2.

Lets's calculate LCM of 223,142

Given numbers has no common factors except 1. So, there LCM is their product i.e 31666

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31666

Therefore, the GCF of Fractions 9284/223,3870/142 is 2/31666

Least Common Multiple of 223,142 with GCF Formula

Least Common Multiple of 223,142 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 223,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(223,142) = 1

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

GCF(223,142) x common factors =1 x 1 = 1

LCM(223,142) = ( 223 × 142 ) / 1

LCM(223,142) = 31666 / 1

LCM(223,142) = 31666


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 9284/223, 3870/142

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 9284/223, 3870/142?

Answer: GCF of Numerators as per given numbers 9284/223, 3870/142 is

GCF of Numerators i.e. for 9284,3870 is 2

LCM of denominators i.e. for 223,142 is 31666.

Thus, GCF of Fractions is 2/31666.Finally, GCF of Fractions for 9284/223, 3870/142 is 2/31666.