Greatest Common Factor of 7190/556, 3479/3428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7190/556, 3479/3428

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 7190/556,3479/3428

Given fractions are 7190/556,3479/3428

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 7190,3479

Greatest Common Factor of Numerators i.e. GCF of 7190,3479 is 1 .

LCM of Denominators means LCM of 556,3428 as per the given fractions.

LCM of 556,3428 is 476492 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7190,3479

GCF of Fractions 7190/556,3479/3428 is 1/476492

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7190,3479 By Matching Biggest Common Factor Method

Greatest Common Factor of 7190,3479 By Matching Biggest Common Factor Method

Factors of 7190

List of positive integer factors of 7190 that divides 7190 without a remainder.

1,2,5,10,719,1438,3595,7190

Factors of 3479

List of positive integer factors of 3479 that divides 3479 without a remainder.

1,7,49,71,497,3479

Greatest Common Factor

We found the factors 7190,3479 . The biggest common factor number is the GCF number.
So the greatest common factor 7190,3479 is 1.

Lets's calculate LCM of 556,3428

2 556, 3428
2 278, 1714
139, 857

∴ So the LCM of the given numbers is 2 x 2 x 139 x 857 = 476492

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/476492

Therefore, the GCF of Fractions 7190/556,3479/3428 is 1/476492

Least Common Multiple of 556,3428 with GCF Formula

Least Common Multiple of 556,3428 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 556,3428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(556,3428) = 4

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

GCF(556,3428) x common factors =4 x 1 = 4

LCM(556,3428) = ( 556 × 3428 ) / 4

LCM(556,3428) = 1905968 / 4

LCM(556,3428) = 476492


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 7190/556, 3479/3428

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 7190/556, 3479/3428?

Answer: GCF of Numerators as per given numbers 7190/556, 3479/3428 is

GCF of Numerators i.e. for 7190,3479 is 1

LCM of denominators i.e. for 556,3428 is 476492.

Thus, GCF of Fractions is 1/476492.Finally, GCF of Fractions for 7190/556, 3479/3428 is 1/476492.