Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 20/53,94/67,131/334
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 20,94,131
Greatest Common Factor of Numerators i.e. GCF of 20,94,131 is 1 .
LCM of Denominators means LCM of 53,67,334 as per the given fractions.
LCM of 53,67,334 is 1186034 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 20,94,131
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 131
List of positive integer factors of 131 that divides 131 without a remainder.
1,131
Greatest Common Factor
We found the factors 20,94,131 . The biggest common factor number is the GCF number.
So the greatest common factor 20,94,131 is 1.
Lets's calculate LCM of 53,67,334
Given numbers has no common factors except 1. So, there LCM is their product i.e 1186034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1186034
Therefore, the GCF of Fractions 20/53,94/67,131/334 is 1/1186034
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 53,67,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,67,334) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,67,334) x common factors =1 x 1 = 1
LCM(53,67,334) = ( 53 × 67 × 334 ) / 1
LCM(53,67,334) = 1186034 / 1
LCM(53,67,334) = 1186034
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 20/53, 94/67, 131/334?
Answer: GCF of Numerators as per given numbers 20/53, 94/67, 131/334 is
GCF of Numerators i.e. for 20,94,131 is 1
LCM of denominators i.e. for 53,67,334 is 1186034.
Thus, GCF of Fractions is 1/1186034.Finally, GCF of Fractions for 20/53, 94/67, 131/334 is 1/1186034.