Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 85/82,80/73,136/149
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 85,80,136
Greatest Common Factor of Numerators i.e. GCF of 85,80,136 is 1 .
LCM of Denominators means LCM of 82,73,149 as per the given fractions.
LCM of 82,73,149 is 891914 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 85,80,136
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 136
List of positive integer factors of 136 that divides 136 without a remainder.
1,2,4,8,17,34,68,136
Greatest Common Factor
We found the factors 85,80,136 . The biggest common factor number is the GCF number.
So the greatest common factor 85,80,136 is 1.
Lets's calculate LCM of 82,73,149
Given numbers has no common factors except 1. So, there LCM is their product i.e 891914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/891914
Therefore, the GCF of Fractions 85/82,80/73,136/149 is 1/891914
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 82,73,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,73,149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(82,73,149) x common factors =1 x 1 = 1
LCM(82,73,149) = ( 82 × 73 × 149 ) / 1
LCM(82,73,149) = 891914 / 1
LCM(82,73,149) = 891914
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 85/82, 80/73, 136/149?
Answer: GCF of Numerators as per given numbers 85/82, 80/73, 136/149 is
GCF of Numerators i.e. for 85,80,136 is 1
LCM of denominators i.e. for 82,73,149 is 891914.
Thus, GCF of Fractions is 1/891914.Finally, GCF of Fractions for 85/82, 80/73, 136/149 is 1/891914.