Greatest Common Factor of 16/29, 134/67, 498/311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 16/29, 134/67, 498/311

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 16/29,134/67,498/311

Given fractions are 16/29,134/67,498/311

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 16,134,498

Greatest Common Factor of Numerators i.e. GCF of 16,134,498 is 2 .

LCM of Denominators means LCM of 29,67,311 as per the given fractions.

LCM of 29,67,311 is 604273 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 16,134,498

GCF of Fractions 16/29,134/67,498/311 is 2/604273

2 16, 134, 498
8, 67, 249

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

Greatest Common Factor of 16,134,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,134,498 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 16,134,498 . The biggest common factor number is the GCF number.
So the greatest common factor 16,134,498 is 2.

Lets's calculate LCM of 29,67,311

Given numbers has no common factors except 1. So, there LCM is their product i.e 604273

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/604273

Therefore, the GCF of Fractions 16/29,134/67,498/311 is 2/604273

Least Common Multiple of 29,67,311 with GCF Formula

Least Common Multiple of 29,67,311 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 29,67,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,67,311) = 1

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

GCF(29,67,311) x common factors =1 x 1 = 1

LCM(29,67,311) = ( 29 × 67 × 311 ) / 1

LCM(29,67,311) = 604273 / 1

LCM(29,67,311) = 604273


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 16/29, 134/67, 498/311

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 16/29, 134/67, 498/311?

Answer: GCF of Numerators as per given numbers 16/29, 134/67, 498/311 is

GCF of Numerators i.e. for 16,134,498 is 2

LCM of denominators i.e. for 29,67,311 is 604273.

Thus, GCF of Fractions is 2/604273.Finally, GCF of Fractions for 16/29, 134/67, 498/311 is 2/604273.