Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 57/14,25/62,22/96,37/55
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 57,25,22,37
Greatest Common Factor of Numerators i.e. GCF of 57,25,22,37 is 1 .
LCM of Denominators means LCM of 14,62,96,55 as per the given fractions.
LCM of 14,62,96,55 is 1145760 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 57,25,22,37
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Greatest Common Factor
We found the factors 57,25,22,37 . The biggest common factor number is the GCF number.
So the greatest common factor 57,25,22,37 is 1.
Lets's calculate LCM of 14,62,96,55
2 | 14, 62, 96, 55 |
7, 31, 48, 55 |
∴ So the LCM of the given numbers is 2 x 7 x 31 x 48 x 55 = 1145760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1145760
Therefore, the GCF of Fractions 57/14,25/62,22/96,37/55 is 1/1145760
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 14,62,96,55 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,62,96,55) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(14,62,96,55) x common factors =1 x 4 = 4
LCM(14,62,96,55) = ( 14 × 62 × 96 × 55 ) / 4
LCM(14,62,96,55) = 4583040 / 4
LCM(14,62,96,55) = 1145760
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 57/14, 25/62, 22/96, 37/55?
Answer: GCF of Numerators as per given numbers 57/14, 25/62, 22/96, 37/55 is
GCF of Numerators i.e. for 57,25,22,37 is 1
LCM of denominators i.e. for 14,62,96,55 is 1145760.
Thus, GCF of Fractions is 1/1145760.Finally, GCF of Fractions for 57/14, 25/62, 22/96, 37/55 is 1/1145760.