Greatest Common Factor of 3066/126, 2905/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3066/126, 2905/598

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 3066/126,2905/598

Given fractions are 3066/126,2905/598

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 3066,2905

Greatest Common Factor of Numerators i.e. GCF of 3066,2905 is 7 .

LCM of Denominators means LCM of 126,598 as per the given fractions.

LCM of 126,598 is 37674 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3066,2905

GCF of Fractions 3066/126,2905/598 is 7/37674

7 3066, 2905
438, 415

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 3066,2905 By Matching Biggest Common Factor Method

Greatest Common Factor of 3066,2905 By Matching Biggest Common Factor Method

Factors of 3066

List of positive integer factors of 3066 that divides 3066 without a remainder.

1,2,3,6,7,14,21,42,73,146,219,438,511,1022,1533,3066

Factors of 2905

List of positive integer factors of 2905 that divides 2905 without a remainder.

1,5,7,35,83,415,581,2905

Greatest Common Factor

We found the factors 3066,2905 . The biggest common factor number is the GCF number.
So the greatest common factor 3066,2905 is 7.

Lets's calculate LCM of 126,598

2 126, 598
63, 299

∴ So the LCM of the given numbers is 2 x 63 x 299 = 37674

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/37674

Therefore, the GCF of Fractions 3066/126,2905/598 is 7/37674

Least Common Multiple of 126,598 with GCF Formula

Least Common Multiple of 126,598 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 126,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(126,598) = 2

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

GCF(126,598) x common factors =2 x 1 = 2

LCM(126,598) = ( 126 × 598 ) / 2

LCM(126,598) = 75348 / 2

LCM(126,598) = 37674


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 3066/126, 2905/598

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 3066/126, 2905/598?

Answer: GCF of Numerators as per given numbers 3066/126, 2905/598 is

GCF of Numerators i.e. for 3066,2905 is 7

LCM of denominators i.e. for 126,598 is 37674.

Thus, GCF of Fractions is 7/37674.Finally, GCF of Fractions for 3066/126, 2905/598 is 7/37674.