Greatest Common Factor of 4340/539, 7984/5084

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4340/539, 7984/5084

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 4340/539,7984/5084

Given fractions are 4340/539,7984/5084

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 4340,7984

Greatest Common Factor of Numerators i.e. GCF of 4340,7984 is 4 .

LCM of Denominators means LCM of 539,5084 as per the given fractions.

LCM of 539,5084 is 2740276 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4340,7984

GCF of Fractions 4340/539,7984/5084 is 4/2740276

2 4340, 7984
2 2170, 3992
1085, 1996

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4340,7984 By Matching Biggest Common Factor Method

Greatest Common Factor of 4340,7984 By Matching Biggest Common Factor Method

Factors of 4340

List of positive integer factors of 4340 that divides 4340 without a remainder.

1,2,4,5,7,10,14,20,28,31,35,62,70,124,140,155,217,310,434,620,868,1085,2170,4340

Factors of 7984

List of positive integer factors of 7984 that divides 7984 without a remainder.

1,2,4,8,16,499,998,1996,3992,7984

Greatest Common Factor

We found the factors 4340,7984 . The biggest common factor number is the GCF number.
So the greatest common factor 4340,7984 is 4.

Lets's calculate LCM of 539,5084

Given numbers has no common factors except 1. So, there LCM is their product i.e 2740276

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2740276

Therefore, the GCF of Fractions 4340/539,7984/5084 is 4/2740276

Least Common Multiple of 539,5084 with GCF Formula

Least Common Multiple of 539,5084 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 539,5084 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(539,5084) = 1

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

GCF(539,5084) x common factors =1 x 1 = 1

LCM(539,5084) = ( 539 × 5084 ) / 1

LCM(539,5084) = 2740276 / 1

LCM(539,5084) = 2740276


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 4340/539, 7984/5084

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 4340/539, 7984/5084?

Answer: GCF of Numerators as per given numbers 4340/539, 7984/5084 is

GCF of Numerators i.e. for 4340,7984 is 4

LCM of denominators i.e. for 539,5084 is 2740276.

Thus, GCF of Fractions is 4/2740276.Finally, GCF of Fractions for 4340/539, 7984/5084 is 4/2740276.