Greatest Common Factor of 363/67, 526/479

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 363/67, 526/479

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 363/67,526/479

Given fractions are 363/67,526/479

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 363,526

Greatest Common Factor of Numerators i.e. GCF of 363,526 is 1 .

LCM of Denominators means LCM of 67,479 as per the given fractions.

LCM of 67,479 is 32093 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 363,526

GCF of Fractions 363/67,526/479 is 1/32093

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

Greatest Common Factor of 363,526 By Matching Biggest Common Factor Method

Greatest Common Factor of 363,526 By Matching Biggest Common Factor Method

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Greatest Common Factor

We found the factors 363,526 . The biggest common factor number is the GCF number.
So the greatest common factor 363,526 is 1.

Lets's calculate LCM of 67,479

Given numbers has no common factors except 1. So, there LCM is their product i.e 32093

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32093

Therefore, the GCF of Fractions 363/67,526/479 is 1/32093

Least Common Multiple of 67,479 with GCF Formula

Least Common Multiple of 67,479 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 67,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,479) = 1

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

GCF(67,479) x common factors =1 x 1 = 1

LCM(67,479) = ( 67 × 479 ) / 1

LCM(67,479) = 32093 / 1

LCM(67,479) = 32093


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 363/67, 526/479

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 363/67, 526/479?

Answer: GCF of Numerators as per given numbers 363/67, 526/479 is

GCF of Numerators i.e. for 363,526 is 1

LCM of denominators i.e. for 67,479 is 32093.

Thus, GCF of Fractions is 1/32093.Finally, GCF of Fractions for 363/67, 526/479 is 1/32093.