Greatest Common Factor of 9146/780, 3556/9239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9146/780, 3556/9239

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 9146/780,3556/9239

Given fractions are 9146/780,3556/9239

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 9146,3556

Greatest Common Factor of Numerators i.e. GCF of 9146,3556 is 2 .

LCM of Denominators means LCM of 780,9239 as per the given fractions.

LCM of 780,9239 is 7206420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9146,3556

GCF of Fractions 9146/780,3556/9239 is 2/7206420

2 9146, 3556
4573, 1778

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

Greatest Common Factor of 9146,3556 By Matching Biggest Common Factor Method

Greatest Common Factor of 9146,3556 By Matching Biggest Common Factor Method

Factors of 9146

List of positive integer factors of 9146 that divides 9146 without a remainder.

1,2,17,34,269,538,4573,9146

Factors of 3556

List of positive integer factors of 3556 that divides 3556 without a remainder.

1,2,4,7,14,28,127,254,508,889,1778,3556

Greatest Common Factor

We found the factors 9146,3556 . The biggest common factor number is the GCF number.
So the greatest common factor 9146,3556 is 2.

Lets's calculate LCM of 780,9239

Given numbers has no common factors except 1. So, there LCM is their product i.e 7206420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7206420

Therefore, the GCF of Fractions 9146/780,3556/9239 is 2/7206420

Least Common Multiple of 780,9239 with GCF Formula

Least Common Multiple of 780,9239 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 780,9239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,9239) = 1

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

GCF(780,9239) x common factors =1 x 1 = 1

LCM(780,9239) = ( 780 × 9239 ) / 1

LCM(780,9239) = 7206420 / 1

LCM(780,9239) = 7206420


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 9146/780, 3556/9239

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 9146/780, 3556/9239?

Answer: GCF of Numerators as per given numbers 9146/780, 3556/9239 is

GCF of Numerators i.e. for 9146,3556 is 2

LCM of denominators i.e. for 780,9239 is 7206420.

Thus, GCF of Fractions is 2/7206420.Finally, GCF of Fractions for 9146/780, 3556/9239 is 2/7206420.