Greatest Common Factor of 8/50, 62/133, 82/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 8/50, 62/133, 82/489

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 8/50,62/133,82/489

Given fractions are 8/50,62/133,82/489

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 8,62,82

Greatest Common Factor of Numerators i.e. GCF of 8,62,82 is 2 .

LCM of Denominators means LCM of 50,133,489 as per the given fractions.

LCM of 50,133,489 is 3251850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,62,82

GCF of Fractions 8/50,62/133,82/489 is 2/3251850

2 8, 62, 82
4, 31, 41

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

Greatest Common Factor of 8,62,82 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,62,82 By Matching Biggest Common Factor Method

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Greatest Common Factor

We found the factors 8,62,82 . The biggest common factor number is the GCF number.
So the greatest common factor 8,62,82 is 2.


Lets's calculate LCM of 50,133,489

Given numbers has no common factors except 1. So, there LCM is their product i.e 3251850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3251850

Therefore, the GCF of Fractions 8/50,62/133,82/489 is 2/3251850

Least Common Multiple of 50,133,489 with GCF Formula

Least Common Multiple of 50,133,489 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 50,133,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,133,489) = 1

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

GCF(50,133,489) x common factors =1 x 1 = 1

LCM(50,133,489) = ( 50 × 133 × 489 ) / 1

LCM(50,133,489) = 3251850 / 1

LCM(50,133,489) = 3251850


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 8/50, 62/133, 82/489

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 8/50, 62/133, 82/489?

Answer: GCF of Numerators as per given numbers 8/50, 62/133, 82/489 is

GCF of Numerators i.e. for 8,62,82 is 2

LCM of denominators i.e. for 50,133,489 is 3251850.

Thus, GCF of Fractions is 2/3251850.Finally, GCF of Fractions for 8/50, 62/133, 82/489 is 2/3251850.