Greatest Common Factor of 3085/50, 9510/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3085/50, 9510/489

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 3085/50,9510/489

Given fractions are 3085/50,9510/489

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 3085,9510

Greatest Common Factor of Numerators i.e. GCF of 3085,9510 is 5 .

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

LCM of 50,489 is 24450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3085,9510

GCF of Fractions 3085/50,9510/489 is 5/24450

5 3085, 9510
617, 1902

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 3085,9510 By Matching Biggest Common Factor Method

Greatest Common Factor of 3085,9510 By Matching Biggest Common Factor Method

Factors of 3085

List of positive integer factors of 3085 that divides 3085 without a remainder.

1,5,617,3085

Factors of 9510

List of positive integer factors of 9510 that divides 9510 without a remainder.

1,2,3,5,6,10,15,30,317,634,951,1585,1902,3170,4755,9510

Greatest Common Factor

We found the factors 3085,9510 . The biggest common factor number is the GCF number.
So the greatest common factor 3085,9510 is 5.

Lets's calculate LCM of 50,489

Given numbers has no common factors except 1. So, there LCM is their product i.e 24450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/24450

Therefore, the GCF of Fractions 3085/50,9510/489 is 5/24450

Least Common Multiple of 50,489 with GCF Formula

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

GCF(50,489) = 1

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

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

LCM(50,489) = ( 50 × 489 ) / 1

LCM(50,489) = 24450 / 1

LCM(50,489) = 24450


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 3085/50, 9510/489

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 3085/50, 9510/489?

Answer: GCF of Numerators as per given numbers 3085/50, 9510/489 is

GCF of Numerators i.e. for 3085,9510 is 5

LCM of denominators i.e. for 50,489 is 24450.

Thus, GCF of Fractions is 5/24450.Finally, GCF of Fractions for 3085/50, 9510/489 is 5/24450.