Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 360/32,751/45,401/52
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 360,751,401
Greatest Common Factor of Numerators i.e. GCF of 360,751,401 is 1 .
LCM of Denominators means LCM of 32,45,52 as per the given fractions.
LCM of 32,45,52 is 18720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 360,751,401
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 360
List of positive integer factors of 360 that divides 360 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Factors of 751
List of positive integer factors of 751 that divides 751 without a remainder.
1,751
Factors of 401
List of positive integer factors of 401 that divides 401 without a remainder.
1,401
Greatest Common Factor
We found the factors 360,751,401 . The biggest common factor number is the GCF number.
So the greatest common factor 360,751,401 is 1.
Lets's calculate LCM of 32,45,52
2 | 32, 45, 52 |
2 | 16, 45, 26 |
8, 45, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 8 x 45 x 13 = 18720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18720
Therefore, the GCF of Fractions 360/32,751/45,401/52 is 1/18720
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 32,45,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,45,52) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(32,45,52) x common factors =1 x 4 = 4
LCM(32,45,52) = ( 32 × 45 × 52 ) / 4
LCM(32,45,52) = 74880 / 4
LCM(32,45,52) = 18720
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 360/32, 751/45, 401/52?
Answer: GCF of Numerators as per given numbers 360/32, 751/45, 401/52 is
GCF of Numerators i.e. for 360,751,401 is 1
LCM of denominators i.e. for 32,45,52 is 18720.
Thus, GCF of Fractions is 1/18720.Finally, GCF of Fractions for 360/32, 751/45, 401/52 is 1/18720.