Greatest Common Factor of 336/980, 902/249, 820/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 336/980, 902/249, 820/200

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 336/980,902/249,820/200

Given fractions are 336/980,902/249,820/200

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 336,902,820

Greatest Common Factor of Numerators i.e. GCF of 336,902,820 is 2 .

LCM of Denominators means LCM of 980,249,200 as per the given fractions.

LCM of 980,249,200 is 2440200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 336,902,820

GCF of Fractions 336/980,902/249,820/200 is 2/2440200

2 336, 902, 820
168, 451, 410

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

Greatest Common Factor of 336,902,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 336,902,820 By Matching Biggest Common Factor Method

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 336,902,820 . The biggest common factor number is the GCF number.
So the greatest common factor 336,902,820 is 2.

Lets's calculate LCM of 980,249,200

2 980, 249, 200
2 490, 249, 100
5 245, 249, 50
49, 249, 10

∴ So the LCM of the given numbers is 2 x 2 x 5 x 49 x 249 x 10 = 2440200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2440200

Therefore, the GCF of Fractions 336/980,902/249,820/200 is 2/2440200

Least Common Multiple of 980,249,200 with GCF Formula

Least Common Multiple of 980,249,200 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 980,249,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,249,200) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(980,249,200) x common factors =1 x 20 = 20

LCM(980,249,200) = ( 980 × 249 × 200 ) / 20

LCM(980,249,200) = 48804000 / 20

LCM(980,249,200) = 2440200


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 336/980, 902/249, 820/200

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 336/980, 902/249, 820/200?

Answer: GCF of Numerators as per given numbers 336/980, 902/249, 820/200 is

GCF of Numerators i.e. for 336,902,820 is 2

LCM of denominators i.e. for 980,249,200 is 2440200.

Thus, GCF of Fractions is 2/2440200.Finally, GCF of Fractions for 336/980, 902/249, 820/200 is 2/2440200.