Greatest Common Factor of 490/306, 2160/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 490/306, 2160/469

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 490/306,2160/469

Given fractions are 490/306,2160/469

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 490,2160

Greatest Common Factor of Numerators i.e. GCF of 490,2160 is 10 .

LCM of Denominators means LCM of 306,469 as per the given fractions.

LCM of 306,469 is 143514 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 490,2160

GCF of Fractions 490/306,2160/469 is 10/143514

2 490, 2160
5 245, 1080
49, 216

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 490,2160 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,2160 By Matching Biggest Common Factor Method

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 2160

List of positive integer factors of 2160 that divides 2160 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,36,40,45,48,54,60,72,80,90,108,120,135,144,180,216,240,270,360,432,540,720,1080,2160

Greatest Common Factor

We found the factors 490,2160 . The biggest common factor number is the GCF number.
So the greatest common factor 490,2160 is 10.

Lets's calculate LCM of 306,469

Given numbers has no common factors except 1. So, there LCM is their product i.e 143514

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/143514

Therefore, the GCF of Fractions 490/306,2160/469 is 10/143514

Least Common Multiple of 306,469 with GCF Formula

Least Common Multiple of 306,469 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 306,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,469) = 1

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

GCF(306,469) x common factors =1 x 1 = 1

LCM(306,469) = ( 306 × 469 ) / 1

LCM(306,469) = 143514 / 1

LCM(306,469) = 143514


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 490/306, 2160/469

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 490/306, 2160/469?

Answer: GCF of Numerators as per given numbers 490/306, 2160/469 is

GCF of Numerators i.e. for 490,2160 is 10

LCM of denominators i.e. for 306,469 is 143514.

Thus, GCF of Fractions is 10/143514.Finally, GCF of Fractions for 490/306, 2160/469 is 10/143514.