Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 59/57,45/32,13/37,10/803
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 59,45,13,10
Greatest Common Factor of Numerators i.e. GCF of 59,45,13,10 is 1 .
LCM of Denominators means LCM of 57,32,37,803 as per the given fractions.
LCM of 57,32,37,803 is 54192864 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 59,45,13,10
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Greatest Common Factor
We found the factors 59,45,13,10 . The biggest common factor number is the GCF number.
So the greatest common factor 59,45,13,10 is 1.
Lets's calculate LCM of 57,32,37,803
Given numbers has no common factors except 1. So, there LCM is their product i.e 54192864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54192864
Therefore, the GCF of Fractions 59/57,45/32,13/37,10/803 is 1/54192864
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 57,32,37,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,32,37,803) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,32,37,803) x common factors =1 x 1 = 1
LCM(57,32,37,803) = ( 57 × 32 × 37 × 803 ) / 1
LCM(57,32,37,803) = 54192864 / 1
LCM(57,32,37,803) = 54192864
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 59/57, 45/32, 13/37, 10/803?
Answer: GCF of Numerators as per given numbers 59/57, 45/32, 13/37, 10/803 is
GCF of Numerators i.e. for 59,45,13,10 is 1
LCM of denominators i.e. for 57,32,37,803 is 54192864.
Thus, GCF of Fractions is 1/54192864.Finally, GCF of Fractions for 59/57, 45/32, 13/37, 10/803 is 1/54192864.