Greatest Common Factor of 7060/580, 4946/5192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7060/580, 4946/5192

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 7060/580,4946/5192

Given fractions are 7060/580,4946/5192

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 7060,4946

Greatest Common Factor of Numerators i.e. GCF of 7060,4946 is 2 .

LCM of Denominators means LCM of 580,5192 as per the given fractions.

LCM of 580,5192 is 752840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7060,4946

GCF of Fractions 7060/580,4946/5192 is 2/752840

2 7060, 4946
3530, 2473

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

Greatest Common Factor of 7060,4946 By Matching Biggest Common Factor Method

Greatest Common Factor of 7060,4946 By Matching Biggest Common Factor Method

Factors of 7060

List of positive integer factors of 7060 that divides 7060 without a remainder.

1,2,4,5,10,20,353,706,1412,1765,3530,7060

Factors of 4946

List of positive integer factors of 4946 that divides 4946 without a remainder.

1,2,2473,4946

Greatest Common Factor

We found the factors 7060,4946 . The biggest common factor number is the GCF number.
So the greatest common factor 7060,4946 is 2.

Lets's calculate LCM of 580,5192

2 580, 5192
2 290, 2596
145, 1298

∴ So the LCM of the given numbers is 2 x 2 x 145 x 1298 = 752840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/752840

Therefore, the GCF of Fractions 7060/580,4946/5192 is 2/752840

Least Common Multiple of 580,5192 with GCF Formula

Least Common Multiple of 580,5192 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 580,5192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(580,5192) = 4

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

GCF(580,5192) x common factors =4 x 1 = 4

LCM(580,5192) = ( 580 × 5192 ) / 4

LCM(580,5192) = 3011360 / 4

LCM(580,5192) = 752840


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 7060/580, 4946/5192

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 7060/580, 4946/5192?

Answer: GCF of Numerators as per given numbers 7060/580, 4946/5192 is

GCF of Numerators i.e. for 7060,4946 is 2

LCM of denominators i.e. for 580,5192 is 752840.

Thus, GCF of Fractions is 2/752840.Finally, GCF of Fractions for 7060/580, 4946/5192 is 2/752840.