Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7616/85,8989/464
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 7616,8989
Greatest Common Factor of Numerators i.e. GCF of 7616,8989 is 1 .
LCM of Denominators means LCM of 85,464 as per the given fractions.
LCM of 85,464 is 39440 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7616,8989
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7616
List of positive integer factors of 7616 that divides 7616 without a remainder.
1,2,4,7,8,14,16,17,28,32,34,56,64,68,112,119,136,224,238,272,448,476,544,952,1088,1904,3808,7616
Factors of 8989
List of positive integer factors of 8989 that divides 8989 without a remainder.
1,89,101,8989
Greatest Common Factor
We found the factors 7616,8989 . The biggest common factor number is the GCF number.
So the greatest common factor 7616,8989 is 1.
Lets's calculate LCM of 85,464
Given numbers has no common factors except 1. So, there LCM is their product i.e 39440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39440
Therefore, the GCF of Fractions 7616/85,8989/464 is 1/39440
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 85,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,464) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,464) x common factors =1 x 1 = 1
LCM(85,464) = ( 85 × 464 ) / 1
LCM(85,464) = 39440 / 1
LCM(85,464) = 39440
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 7616/85, 8989/464?
Answer: GCF of Numerators as per given numbers 7616/85, 8989/464 is
GCF of Numerators i.e. for 7616,8989 is 1
LCM of denominators i.e. for 85,464 is 39440.
Thus, GCF of Fractions is 1/39440.Finally, GCF of Fractions for 7616/85, 8989/464 is 1/39440.