Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 900/437,572/913,365/481
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 900,572,365
Greatest Common Factor of Numerators i.e. GCF of 900,572,365 is 1 .
LCM of Denominators means LCM of 437,913,481 as per the given fractions.
LCM of 437,913,481 is 191909861 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 900,572,365
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 900
List of positive integer factors of 900 that divides 900 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Factors of 572
List of positive integer factors of 572 that divides 572 without a remainder.
1,2,4,11,13,22,26,44,52,143,286,572
Factors of 365
List of positive integer factors of 365 that divides 365 without a remainder.
1,5,73,365
Greatest Common Factor
We found the factors 900,572,365 . The biggest common factor number is the GCF number.
So the greatest common factor 900,572,365 is 1.
Lets's calculate LCM of 437,913,481
Given numbers has no common factors except 1. So, there LCM is their product i.e 191909861
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/191909861
Therefore, the GCF of Fractions 900/437,572/913,365/481 is 1/191909861
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 437,913,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(437,913,481) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(437,913,481) x common factors =1 x 1 = 1
LCM(437,913,481) = ( 437 × 913 × 481 ) / 1
LCM(437,913,481) = 191909861 / 1
LCM(437,913,481) = 191909861
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 900/437, 572/913, 365/481?
Answer: GCF of Numerators as per given numbers 900/437, 572/913, 365/481 is
GCF of Numerators i.e. for 900,572,365 is 1
LCM of denominators i.e. for 437,913,481 is 191909861.
Thus, GCF of Fractions is 1/191909861.Finally, GCF of Fractions for 900/437, 572/913, 365/481 is 1/191909861.