Greatest Common Factor of 5629/833, 7249/1337

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5629/833, 7249/1337

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 5629/833,7249/1337

Given fractions are 5629/833,7249/1337

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 5629,7249

Greatest Common Factor of Numerators i.e. GCF of 5629,7249 is 1 .

LCM of Denominators means LCM of 833,1337 as per the given fractions.

LCM of 833,1337 is 159103 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5629,7249

GCF of Fractions 5629/833,7249/1337 is 1/159103

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

Greatest Common Factor of 5629,7249 By Matching Biggest Common Factor Method

Greatest Common Factor of 5629,7249 By Matching Biggest Common Factor Method

Factors of 5629

List of positive integer factors of 5629 that divides 5629 without a remainder.

1,13,433,5629

Factors of 7249

List of positive integer factors of 7249 that divides 7249 without a remainder.

1,11,659,7249

Greatest Common Factor

We found the factors 5629,7249 . The biggest common factor number is the GCF number.
So the greatest common factor 5629,7249 is 1.

Lets's calculate LCM of 833,1337

7 833, 1337
119, 191

∴ So the LCM of the given numbers is 7 x 119 x 191 = 159103

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/159103

Therefore, the GCF of Fractions 5629/833,7249/1337 is 1/159103

Least Common Multiple of 833,1337 with GCF Formula

Least Common Multiple of 833,1337 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 833,1337 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(833,1337) = 7

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

GCF(833,1337) x common factors =7 x 1 = 7

LCM(833,1337) = ( 833 × 1337 ) / 7

LCM(833,1337) = 1113721 / 7

LCM(833,1337) = 159103


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 5629/833, 7249/1337

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 5629/833, 7249/1337?

Answer: GCF of Numerators as per given numbers 5629/833, 7249/1337 is

GCF of Numerators i.e. for 5629,7249 is 1

LCM of denominators i.e. for 833,1337 is 159103.

Thus, GCF of Fractions is 1/159103.Finally, GCF of Fractions for 5629/833, 7249/1337 is 1/159103.