Greatest Common Factor of 338/480, 870/208, 368/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 338/480, 870/208, 368/492

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 338/480,870/208,368/492

Given fractions are 338/480,870/208,368/492

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 338,870,368

Greatest Common Factor of Numerators i.e. GCF of 338,870,368 is 2 .

LCM of Denominators means LCM of 480,208,492 as per the given fractions.

LCM of 480,208,492 is 255840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 338,870,368

GCF of Fractions 338/480,870/208,368/492 is 2/255840

2 338, 870, 368
169, 435, 184

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

Greatest Common Factor of 338,870,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 338,870,368 By Matching Biggest Common Factor Method

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 338,870,368 . The biggest common factor number is the GCF number.
So the greatest common factor 338,870,368 is 2.

Lets's calculate LCM of 480,208,492

2 480, 208, 492
2 240, 104, 246
2 120, 52, 123
2 60, 26, 123
3 30, 13, 123
10, 13, 41

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 10 x 13 x 41 = 255840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/255840

Therefore, the GCF of Fractions 338/480,870/208,368/492 is 2/255840

Least Common Multiple of 480,208,492 with GCF Formula

Least Common Multiple of 480,208,492 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 480,208,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,208,492) = 4

common factors(in case of two or more numbers have common factors) = 48

GCF(480,208,492) x common factors =4 x 48 = 192

LCM(480,208,492) = ( 480 × 208 × 492 ) / 192

LCM(480,208,492) = 49121280 / 192

LCM(480,208,492) = 255840


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 338/480, 870/208, 368/492

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 338/480, 870/208, 368/492?

Answer: GCF of Numerators as per given numbers 338/480, 870/208, 368/492 is

GCF of Numerators i.e. for 338,870,368 is 2

LCM of denominators i.e. for 480,208,492 is 255840.

Thus, GCF of Fractions is 2/255840.Finally, GCF of Fractions for 338/480, 870/208, 368/492 is 2/255840.