Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 20/65,62/57,132/737
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 20,62,132
Greatest Common Factor of Numerators i.e. GCF of 20,62,132 is 2 .
LCM of Denominators means LCM of 65,57,737 as per the given fractions.
LCM of 65,57,737 is 2730585 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 20,62,132
2 | 20, 62, 132 |
10, 31, 66 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Greatest Common Factor
We found the factors 20,62,132 . The biggest common factor number is the GCF number.
So the greatest common factor 20,62,132 is 2.
Lets's calculate LCM of 65,57,737
Given numbers has no common factors except 1. So, there LCM is their product i.e 2730585
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2730585
Therefore, the GCF of Fractions 20/65,62/57,132/737 is 2/2730585
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 65,57,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,57,737) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,57,737) x common factors =1 x 1 = 1
LCM(65,57,737) = ( 65 × 57 × 737 ) / 1
LCM(65,57,737) = 2730585 / 1
LCM(65,57,737) = 2730585
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 20/65, 62/57, 132/737?
Answer: GCF of Numerators as per given numbers 20/65, 62/57, 132/737 is
GCF of Numerators i.e. for 20,62,132 is 2
LCM of denominators i.e. for 65,57,737 is 2730585.
Thus, GCF of Fractions is 2/2730585.Finally, GCF of Fractions for 20/65, 62/57, 132/737 is 2/2730585.