Greatest Common Factor of 38/325, 504/279, 562/229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/325, 504/279, 562/229

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 38/325,504/279,562/229

Given fractions are 38/325,504/279,562/229

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 38,504,562

Greatest Common Factor of Numerators i.e. GCF of 38,504,562 is 2 .

LCM of Denominators means LCM of 325,279,229 as per the given fractions.

LCM of 325,279,229 is 20764575 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,504,562

GCF of Fractions 38/325,504/279,562/229 is 2/20764575

2 38, 504, 562
19, 252, 281

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 38,504,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,504,562 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors 38,504,562 . The biggest common factor number is the GCF number.
So the greatest common factor 38,504,562 is 2.

Lets's calculate LCM of 325,279,229

Given numbers has no common factors except 1. So, there LCM is their product i.e 20764575

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/20764575

Therefore, the GCF of Fractions 38/325,504/279,562/229 is 2/20764575

Least Common Multiple of 325,279,229 with GCF Formula

Least Common Multiple of 325,279,229 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 325,279,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(325,279,229) = 1

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

GCF(325,279,229) x common factors =1 x 1 = 1

LCM(325,279,229) = ( 325 × 279 × 229 ) / 1

LCM(325,279,229) = 20764575 / 1

LCM(325,279,229) = 20764575


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 38/325, 504/279, 562/229

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 38/325, 504/279, 562/229?

Answer: GCF of Numerators as per given numbers 38/325, 504/279, 562/229 is

GCF of Numerators i.e. for 38,504,562 is 2

LCM of denominators i.e. for 325,279,229 is 20764575.

Thus, GCF of Fractions is 2/20764575.Finally, GCF of Fractions for 38/325, 504/279, 562/229 is 2/20764575.