Greatest Common Factor of 1258/593, 1294/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1258/593, 1294/296

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 1258/593,1294/296

Given fractions are 1258/593,1294/296

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 1258,1294

Greatest Common Factor of Numerators i.e. GCF of 1258,1294 is 2 .

LCM of Denominators means LCM of 593,296 as per the given fractions.

LCM of 593,296 is 175528 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1258,1294

GCF of Fractions 1258/593,1294/296 is 2/175528

2 1258, 1294
629, 647

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

Greatest Common Factor of 1258,1294 By Matching Biggest Common Factor Method

Greatest Common Factor of 1258,1294 By Matching Biggest Common Factor Method

Factors of 1258

List of positive integer factors of 1258 that divides 1258 without a remainder.

1,2,17,34,37,74,629,1258

Factors of 1294

List of positive integer factors of 1294 that divides 1294 without a remainder.

1,2,647,1294

Greatest Common Factor

We found the factors 1258,1294 . The biggest common factor number is the GCF number.
So the greatest common factor 1258,1294 is 2.

Lets's calculate LCM of 593,296

Given numbers has no common factors except 1. So, there LCM is their product i.e 175528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/175528

Therefore, the GCF of Fractions 1258/593,1294/296 is 2/175528

Least Common Multiple of 593,296 with GCF Formula

Least Common Multiple of 593,296 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 593,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(593,296) = 1

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

GCF(593,296) x common factors =1 x 1 = 1

LCM(593,296) = ( 593 × 296 ) / 1

LCM(593,296) = 175528 / 1

LCM(593,296) = 175528


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 1258/593, 1294/296

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 1258/593, 1294/296?

Answer: GCF of Numerators as per given numbers 1258/593, 1294/296 is

GCF of Numerators i.e. for 1258,1294 is 2

LCM of denominators i.e. for 593,296 is 175528.

Thus, GCF of Fractions is 2/175528.Finally, GCF of Fractions for 1258/593, 1294/296 is 2/175528.