Greatest Common Factor of 5283/602, 5785/7522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5283/602, 5785/7522

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 5283/602,5785/7522

Given fractions are 5283/602,5785/7522

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 5283,5785

Greatest Common Factor of Numerators i.e. GCF of 5283,5785 is 1 .

LCM of Denominators means LCM of 602,7522 as per the given fractions.

LCM of 602,7522 is 2264122 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5283,5785

GCF of Fractions 5283/602,5785/7522 is 1/2264122

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

Greatest Common Factor of 5283,5785 By Matching Biggest Common Factor Method

Greatest Common Factor of 5283,5785 By Matching Biggest Common Factor Method

Factors of 5283

List of positive integer factors of 5283 that divides 5283 without a remainder.

1,3,9,587,1761,5283

Factors of 5785

List of positive integer factors of 5785 that divides 5785 without a remainder.

1,5,13,65,89,445,1157,5785

Greatest Common Factor

We found the factors 5283,5785 . The biggest common factor number is the GCF number.
So the greatest common factor 5283,5785 is 1.

Lets's calculate LCM of 602,7522

2 602, 7522
301, 3761

∴ So the LCM of the given numbers is 2 x 301 x 3761 = 2264122

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2264122

Therefore, the GCF of Fractions 5283/602,5785/7522 is 1/2264122

Least Common Multiple of 602,7522 with GCF Formula

Least Common Multiple of 602,7522 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 602,7522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(602,7522) = 2

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

GCF(602,7522) x common factors =2 x 1 = 2

LCM(602,7522) = ( 602 × 7522 ) / 2

LCM(602,7522) = 4528244 / 2

LCM(602,7522) = 2264122


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 5283/602, 5785/7522

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 5283/602, 5785/7522?

Answer: GCF of Numerators as per given numbers 5283/602, 5785/7522 is

GCF of Numerators i.e. for 5283,5785 is 1

LCM of denominators i.e. for 602,7522 is 2264122.

Thus, GCF of Fractions is 1/2264122.Finally, GCF of Fractions for 5283/602, 5785/7522 is 1/2264122.