Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 72/142,7666/5329
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 72,7666
Greatest Common Factor of Numerators i.e. GCF of 72,7666 is 2 .
LCM of Denominators means LCM of 142,5329 as per the given fractions.
LCM of 142,5329 is 756718 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 72,7666
2 | 72, 7666 |
36, 3833 |
∴ 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 7666
List of positive integer factors of 7666 that divides 7666 without a remainder.
1,2,3833,7666
Greatest Common Factor
We found the factors 72,7666 . The biggest common factor number is the GCF number.
So the greatest common factor 72,7666 is 2.
Lets's calculate LCM of 142,5329
Given numbers has no common factors except 1. So, there LCM is their product i.e 756718
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/756718
Therefore, the GCF of Fractions 72/142,7666/5329 is 2/756718
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 142,5329 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,5329) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(142,5329) x common factors =1 x 1 = 1
LCM(142,5329) = ( 142 × 5329 ) / 1
LCM(142,5329) = 756718 / 1
LCM(142,5329) = 756718
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 72/142, 7666/5329?
Answer: GCF of Numerators as per given numbers 72/142, 7666/5329 is
GCF of Numerators i.e. for 72,7666 is 2
LCM of denominators i.e. for 142,5329 is 756718.
Thus, GCF of Fractions is 2/756718.Finally, GCF of Fractions for 72/142, 7666/5329 is 2/756718.