Greatest Common Factor of 223/37, 293/86, 579/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 223/37, 293/86, 579/700

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 223/37,293/86,579/700

Given fractions are 223/37,293/86,579/700

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 223,293,579

Greatest Common Factor of Numerators i.e. GCF of 223,293,579 is 1 .

LCM of Denominators means LCM of 37,86,700 as per the given fractions.

LCM of 37,86,700 is 1113700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 223,293,579

GCF of Fractions 223/37,293/86,579/700 is 1/1113700

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

Greatest Common Factor of 223,293,579 By Matching Biggest Common Factor Method

Greatest Common Factor of 223,293,579 By Matching Biggest Common Factor Method

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1,223

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Greatest Common Factor

We found the factors 223,293,579 . The biggest common factor number is the GCF number.
So the greatest common factor 223,293,579 is 1.

Lets's calculate LCM of 37,86,700

2 37, 86, 700
37, 43, 350

∴ So the LCM of the given numbers is 2 x 37 x 43 x 350 = 1113700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1113700

Therefore, the GCF of Fractions 223/37,293/86,579/700 is 1/1113700

Least Common Multiple of 37,86,700 with GCF Formula

Least Common Multiple of 37,86,700 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 37,86,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,86,700) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(37,86,700) x common factors =1 x 2 = 2

LCM(37,86,700) = ( 37 × 86 × 700 ) / 2

LCM(37,86,700) = 2227400 / 2

LCM(37,86,700) = 1113700


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 223/37, 293/86, 579/700

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 223/37, 293/86, 579/700?

Answer: GCF of Numerators as per given numbers 223/37, 293/86, 579/700 is

GCF of Numerators i.e. for 223,293,579 is 1

LCM of denominators i.e. for 37,86,700 is 1113700.

Thus, GCF of Fractions is 1/1113700.Finally, GCF of Fractions for 223/37, 293/86, 579/700 is 1/1113700.