Greatest Common Factor of 1349/58, 9513/992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1349/58, 9513/992

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 1349/58,9513/992

Given fractions are 1349/58,9513/992

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 1349,9513

Greatest Common Factor of Numerators i.e. GCF of 1349,9513 is 1 .

LCM of Denominators means LCM of 58,992 as per the given fractions.

LCM of 58,992 is 28768 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1349,9513

GCF of Fractions 1349/58,9513/992 is 1/28768

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

Greatest Common Factor of 1349,9513 By Matching Biggest Common Factor Method

Greatest Common Factor of 1349,9513 By Matching Biggest Common Factor Method

Factors of 1349

List of positive integer factors of 1349 that divides 1349 without a remainder.

1,19,71,1349

Factors of 9513

List of positive integer factors of 9513 that divides 9513 without a remainder.

1,3,7,9,21,63,151,453,1057,1359,3171,9513

Greatest Common Factor

We found the factors 1349,9513 . The biggest common factor number is the GCF number.
So the greatest common factor 1349,9513 is 1.

Lets's calculate LCM of 58,992

2 58, 992
29, 496

∴ So the LCM of the given numbers is 2 x 29 x 496 = 28768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28768

Therefore, the GCF of Fractions 1349/58,9513/992 is 1/28768

Least Common Multiple of 58,992 with GCF Formula

Least Common Multiple of 58,992 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 58,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,992) = 2

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

GCF(58,992) x common factors =2 x 1 = 2

LCM(58,992) = ( 58 × 992 ) / 2

LCM(58,992) = 57536 / 2

LCM(58,992) = 28768


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 1349/58, 9513/992

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 1349/58, 9513/992?

Answer: GCF of Numerators as per given numbers 1349/58, 9513/992 is

GCF of Numerators i.e. for 1349,9513 is 1

LCM of denominators i.e. for 58,992 is 28768.

Thus, GCF of Fractions is 1/28768.Finally, GCF of Fractions for 1349/58, 9513/992 is 1/28768.