Greatest Common Factor of 499/30, 180/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 499/30, 180/350

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 499/30,180/350

Given fractions are 499/30,180/350

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 499,180

Greatest Common Factor of Numerators i.e. GCF of 499,180 is 1 .

LCM of Denominators means LCM of 30,350 as per the given fractions.

LCM of 30,350 is 1050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 499,180

GCF of Fractions 499/30,180/350 is 1/1050

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 499,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 499,180 By Matching Biggest Common Factor Method

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 499,180 . The biggest common factor number is the GCF number.
So the greatest common factor 499,180 is 1.

Lets's calculate LCM of 30,350

2 30, 350
5 15, 175
3, 35

∴ So the LCM of the given numbers is 2 x 5 x 3 x 35 = 1050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1050

Therefore, the GCF of Fractions 499/30,180/350 is 1/1050

Least Common Multiple of 30,350 with GCF Formula

Least Common Multiple of 30,350 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 30,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,350) = 10

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

GCF(30,350) x common factors =10 x 1 = 10

LCM(30,350) = ( 30 × 350 ) / 10

LCM(30,350) = 10500 / 10

LCM(30,350) = 1050


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 499/30, 180/350

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 499/30, 180/350?

Answer: GCF of Numerators as per given numbers 499/30, 180/350 is

GCF of Numerators i.e. for 499,180 is 1

LCM of denominators i.e. for 30,350 is 1050.

Thus, GCF of Fractions is 1/1050.Finally, GCF of Fractions for 499/30, 180/350 is 1/1050.