Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 92/53,14/72,406/25
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 92,14,406
Greatest Common Factor of Numerators i.e. GCF of 92,14,406 is 2 .
LCM of Denominators means LCM of 53,72,25 as per the given fractions.
LCM of 53,72,25 is 95400 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 92,14,406
2 | 92, 14, 406 |
46, 7, 203 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 406
List of positive integer factors of 406 that divides 406 without a remainder.
1,2,7,14,29,58,203,406
Greatest Common Factor
We found the factors 92,14,406 . The biggest common factor number is the GCF number.
So the greatest common factor 92,14,406 is 2.
Lets's calculate LCM of 53,72,25
Given numbers has no common factors except 1. So, there LCM is their product i.e 95400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/95400
Therefore, the GCF of Fractions 92/53,14/72,406/25 is 2/95400
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 53,72,25 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,72,25) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,72,25) x common factors =1 x 1 = 1
LCM(53,72,25) = ( 53 × 72 × 25 ) / 1
LCM(53,72,25) = 95400 / 1
LCM(53,72,25) = 95400
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 92/53, 14/72, 406/25?
Answer: GCF of Numerators as per given numbers 92/53, 14/72, 406/25 is
GCF of Numerators i.e. for 92,14,406 is 2
LCM of denominators i.e. for 53,72,25 is 95400.
Thus, GCF of Fractions is 2/95400.Finally, GCF of Fractions for 92/53, 14/72, 406/25 is 2/95400.