Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 558/367,951/970,773/326
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 558,951,773
Greatest Common Factor of Numerators i.e. GCF of 558,951,773 is 1 .
LCM of Denominators means LCM of 367,970,326 as per the given fractions.
LCM of 367,970,326 is 58026370 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 558,951,773
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 558
List of positive integer factors of 558 that divides 558 without a remainder.
1,2,3,6,9,18,31,62,93,186,279,558
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1,3,317,951
Factors of 773
List of positive integer factors of 773 that divides 773 without a remainder.
1,773
Greatest Common Factor
We found the factors 558,951,773 . The biggest common factor number is the GCF number.
So the greatest common factor 558,951,773 is 1.
Lets's calculate LCM of 367,970,326
2 | 367, 970, 326 |
367, 485, 163 |
∴ So the LCM of the given numbers is 2 x 367 x 485 x 163 = 58026370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58026370
Therefore, the GCF of Fractions 558/367,951/970,773/326 is 1/58026370
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 367,970,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(367,970,326) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(367,970,326) x common factors =1 x 2 = 2
LCM(367,970,326) = ( 367 × 970 × 326 ) / 2
LCM(367,970,326) = 116052740 / 2
LCM(367,970,326) = 58026370
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
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 558/367, 951/970, 773/326?
Answer: GCF of Numerators as per given numbers 558/367, 951/970, 773/326 is
GCF of Numerators i.e. for 558,951,773 is 1
LCM of denominators i.e. for 367,970,326 is 58026370.
Thus, GCF of Fractions is 1/58026370.Finally, GCF of Fractions for 558/367, 951/970, 773/326 is 1/58026370.