Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 72/31,46/60,44/33,716/25
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 72,46,44,716
Greatest Common Factor of Numerators i.e. GCF of 72,46,44,716 is 2 .
LCM of Denominators means LCM of 31,60,33,25 as per the given fractions.
LCM of 31,60,33,25 is 102300 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 72,46,44,716
2 | 72, 46, 44, 716 |
36, 23, 22, 358 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 716
List of positive integer factors of 716 that divides 716 without a remainder.
1,2,4,179,358,716
Greatest Common Factor
We found the factors 72,46,44,716 . The biggest common factor number is the GCF number.
So the greatest common factor 72,46,44,716 is 2.
Lets's calculate LCM of 31,60,33,25
3 | 31, 60, 33, 25 |
5 | 31, 20, 11, 25 |
31, 4, 11, 5 |
∴ So the LCM of the given numbers is 3 x 5 x 31 x 4 x 11 x 5 = 102300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/102300
Therefore, the GCF of Fractions 72/31,46/60,44/33,716/25 is 2/102300
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 31,60,33,25 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,60,33,25) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(31,60,33,25) x common factors =1 x 15 = 15
LCM(31,60,33,25) = ( 31 × 60 × 33 × 25 ) / 15
LCM(31,60,33,25) = 1534500 / 15
LCM(31,60,33,25) = 102300
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 72/31, 46/60, 44/33, 716/25?
Answer: GCF of Numerators as per given numbers 72/31, 46/60, 44/33, 716/25 is
GCF of Numerators i.e. for 72,46,44,716 is 2
LCM of denominators i.e. for 31,60,33,25 is 102300.
Thus, GCF of Fractions is 2/102300.Finally, GCF of Fractions for 72/31, 46/60, 44/33, 716/25 is 2/102300.