Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1584/47,5071/223
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 1584,5071
Greatest Common Factor of Numerators i.e. GCF of 1584,5071 is 11 .
LCM of Denominators means LCM of 47,223 as per the given fractions.
LCM of 47,223 is 10481 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1584,5071
11 | 1584, 5071 |
144, 461 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 1584
List of positive integer factors of 1584 that divides 1584 without a remainder.
1,2,3,4,6,8,9,11,12,16,18,22,24,33,36,44,48,66,72,88,99,132,144,176,198,264,396,528,792,1584
Factors of 5071
List of positive integer factors of 5071 that divides 5071 without a remainder.
1,11,461,5071
Greatest Common Factor
We found the factors 1584,5071 . The biggest common factor number is the GCF number.
So the greatest common factor 1584,5071 is 11.
Lets's calculate LCM of 47,223
Given numbers has no common factors except 1. So, there LCM is their product i.e 10481
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/10481
Therefore, the GCF of Fractions 1584/47,5071/223 is 11/10481
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 47,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,223) x common factors =1 x 1 = 1
LCM(47,223) = ( 47 × 223 ) / 1
LCM(47,223) = 10481 / 1
LCM(47,223) = 10481
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 1584/47, 5071/223?
Answer: GCF of Numerators as per given numbers 1584/47, 5071/223 is
GCF of Numerators i.e. for 1584,5071 is 11
LCM of denominators i.e. for 47,223 is 10481.
Thus, GCF of Fractions is 11/10481.Finally, GCF of Fractions for 1584/47, 5071/223 is 11/10481.