Greatest Common Factor of 3046/55, 1090/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3046/55, 1090/594

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 3046/55,1090/594

Given fractions are 3046/55,1090/594

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 3046,1090

Greatest Common Factor of Numerators i.e. GCF of 3046,1090 is 2 .

LCM of Denominators means LCM of 55,594 as per the given fractions.

LCM of 55,594 is 2970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3046,1090

GCF of Fractions 3046/55,1090/594 is 2/2970

2 3046, 1090
1523, 545

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

Greatest Common Factor of 3046,1090 By Matching Biggest Common Factor Method

Greatest Common Factor of 3046,1090 By Matching Biggest Common Factor Method

Factors of 3046

List of positive integer factors of 3046 that divides 3046 without a remainder.

1,2,1523,3046

Factors of 1090

List of positive integer factors of 1090 that divides 1090 without a remainder.

1,2,5,10,109,218,545,1090

Greatest Common Factor

We found the factors 3046,1090 . The biggest common factor number is the GCF number.
So the greatest common factor 3046,1090 is 2.

Lets's calculate LCM of 55,594

11 55, 594
5, 54

∴ So the LCM of the given numbers is 11 x 5 x 54 = 2970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2970

Therefore, the GCF of Fractions 3046/55,1090/594 is 2/2970

Least Common Multiple of 55,594 with GCF Formula

Least Common Multiple of 55,594 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 55,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,594) = 11

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

GCF(55,594) x common factors =11 x 1 = 11

LCM(55,594) = ( 55 × 594 ) / 11

LCM(55,594) = 32670 / 11

LCM(55,594) = 2970


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 3046/55, 1090/594

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 3046/55, 1090/594?

Answer: GCF of Numerators as per given numbers 3046/55, 1090/594 is

GCF of Numerators i.e. for 3046,1090 is 2

LCM of denominators i.e. for 55,594 is 2970.

Thus, GCF of Fractions is 2/2970.Finally, GCF of Fractions for 3046/55, 1090/594 is 2/2970.