Greatest Common Factor of 238/933, 882/503, 441/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 238/933, 882/503, 441/313

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 238/933,882/503,441/313

Given fractions are 238/933,882/503,441/313

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 238,882,441

Greatest Common Factor of Numerators i.e. GCF of 238,882,441 is 7 .

LCM of Denominators means LCM of 933,503,313 as per the given fractions.

LCM of 933,503,313 is 146890587 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 238,882,441

GCF of Fractions 238/933,882/503,441/313 is 7/146890587

7 238, 882, 441
34, 126, 63

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 238,882,441 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,882,441 By Matching Biggest Common Factor Method

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Greatest Common Factor

We found the factors 238,882,441 . The biggest common factor number is the GCF number.
So the greatest common factor 238,882,441 is 7.

Lets's calculate LCM of 933,503,313

Given numbers has no common factors except 1. So, there LCM is their product i.e 146890587

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/146890587

Therefore, the GCF of Fractions 238/933,882/503,441/313 is 7/146890587

Least Common Multiple of 933,503,313 with GCF Formula

Least Common Multiple of 933,503,313 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 933,503,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(933,503,313) = 1

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

GCF(933,503,313) x common factors =1 x 1 = 1

LCM(933,503,313) = ( 933 × 503 × 313 ) / 1

LCM(933,503,313) = 146890587 / 1

LCM(933,503,313) = 146890587


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 238/933, 882/503, 441/313

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 238/933, 882/503, 441/313?

Answer: GCF of Numerators as per given numbers 238/933, 882/503, 441/313 is

GCF of Numerators i.e. for 238,882,441 is 7

LCM of denominators i.e. for 933,503,313 is 146890587.

Thus, GCF of Fractions is 7/146890587.Finally, GCF of Fractions for 238/933, 882/503, 441/313 is 7/146890587.