Greatest Common Factor of 334/62, 5640/809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 334/62, 5640/809

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 334/62,5640/809

Given fractions are 334/62,5640/809

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 334,5640

Greatest Common Factor of Numerators i.e. GCF of 334,5640 is 2 .

LCM of Denominators means LCM of 62,809 as per the given fractions.

LCM of 62,809 is 50158 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 334,5640

GCF of Fractions 334/62,5640/809 is 2/50158

2 334, 5640
167, 2820

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

Greatest Common Factor of 334,5640 By Matching Biggest Common Factor Method

Greatest Common Factor of 334,5640 By Matching Biggest Common Factor Method

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Factors of 5640

List of positive integer factors of 5640 that divides 5640 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,47,60,94,120,141,188,235,282,376,470,564,705,940,1128,1410,1880,2820,5640

Greatest Common Factor

We found the factors 334,5640 . The biggest common factor number is the GCF number.
So the greatest common factor 334,5640 is 2.

Lets's calculate LCM of 62,809

Given numbers has no common factors except 1. So, there LCM is their product i.e 50158

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/50158

Therefore, the GCF of Fractions 334/62,5640/809 is 2/50158

Least Common Multiple of 62,809 with GCF Formula

Least Common Multiple of 62,809 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 62,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,809) = 1

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

GCF(62,809) x common factors =1 x 1 = 1

LCM(62,809) = ( 62 × 809 ) / 1

LCM(62,809) = 50158 / 1

LCM(62,809) = 50158


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 334/62, 5640/809

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 334/62, 5640/809?

Answer: GCF of Numerators as per given numbers 334/62, 5640/809 is

GCF of Numerators i.e. for 334,5640 is 2

LCM of denominators i.e. for 62,809 is 50158.

Thus, GCF of Fractions is 2/50158.Finally, GCF of Fractions for 334/62, 5640/809 is 2/50158.