Greatest Common Factor of 7563/362, 5033/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7563/362, 5033/618

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 7563/362,5033/618

Given fractions are 7563/362,5033/618

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 7563,5033

Greatest Common Factor of Numerators i.e. GCF of 7563,5033 is 1 .

LCM of Denominators means LCM of 362,618 as per the given fractions.

LCM of 362,618 is 111858 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7563,5033

GCF of Fractions 7563/362,5033/618 is 1/111858

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

Greatest Common Factor of 7563,5033 By Matching Biggest Common Factor Method

Greatest Common Factor of 7563,5033 By Matching Biggest Common Factor Method

Factors of 7563

List of positive integer factors of 7563 that divides 7563 without a remainder.

1,3,2521,7563

Factors of 5033

List of positive integer factors of 5033 that divides 5033 without a remainder.

1,7,719,5033

Greatest Common Factor

We found the factors 7563,5033 . The biggest common factor number is the GCF number.
So the greatest common factor 7563,5033 is 1.

Lets's calculate LCM of 362,618

2 362, 618
181, 309

∴ So the LCM of the given numbers is 2 x 181 x 309 = 111858

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/111858

Therefore, the GCF of Fractions 7563/362,5033/618 is 1/111858

Least Common Multiple of 362,618 with GCF Formula

Least Common Multiple of 362,618 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 362,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,618) = 2

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

GCF(362,618) x common factors =2 x 1 = 2

LCM(362,618) = ( 362 × 618 ) / 2

LCM(362,618) = 223716 / 2

LCM(362,618) = 111858


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 7563/362, 5033/618

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 7563/362, 5033/618?

Answer: GCF of Numerators as per given numbers 7563/362, 5033/618 is

GCF of Numerators i.e. for 7563,5033 is 1

LCM of denominators i.e. for 362,618 is 111858.

Thus, GCF of Fractions is 1/111858.Finally, GCF of Fractions for 7563/362, 5033/618 is 1/111858.