Greatest Common Factor of 298/29, 934/65, 532/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 298/29, 934/65, 532/594

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 298/29,934/65,532/594

Given fractions are 298/29,934/65,532/594

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 298,934,532

Greatest Common Factor of Numerators i.e. GCF of 298,934,532 is 2 .

LCM of Denominators means LCM of 29,65,594 as per the given fractions.

LCM of 29,65,594 is 1119690 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 298,934,532

GCF of Fractions 298/29,934/65,532/594 is 2/1119690

2 298, 934, 532
149, 467, 266

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

Greatest Common Factor of 298,934,532 By Matching Biggest Common Factor Method

Greatest Common Factor of 298,934,532 By Matching Biggest Common Factor Method

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 934

List of positive integer factors of 934 that divides 934 without a remainder.

1,2,467,934

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Greatest Common Factor

We found the factors 298,934,532 . The biggest common factor number is the GCF number.
So the greatest common factor 298,934,532 is 2.

Lets's calculate LCM of 29,65,594

Given numbers has no common factors except 1. So, there LCM is their product i.e 1119690

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1119690

Therefore, the GCF of Fractions 298/29,934/65,532/594 is 2/1119690

Least Common Multiple of 29,65,594 with GCF Formula

Least Common Multiple of 29,65,594 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 29,65,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,65,594) = 1

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

GCF(29,65,594) x common factors =1 x 1 = 1

LCM(29,65,594) = ( 29 × 65 × 594 ) / 1

LCM(29,65,594) = 1119690 / 1

LCM(29,65,594) = 1119690


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 298/29, 934/65, 532/594

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 298/29, 934/65, 532/594?

Answer: GCF of Numerators as per given numbers 298/29, 934/65, 532/594 is

GCF of Numerators i.e. for 298,934,532 is 2

LCM of denominators i.e. for 29,65,594 is 1119690.

Thus, GCF of Fractions is 2/1119690.Finally, GCF of Fractions for 298/29, 934/65, 532/594 is 2/1119690.