Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 20/451,931/816
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 20,931
Greatest Common Factor of Numerators i.e. GCF of 20,931 is 1 .
LCM of Denominators means LCM of 451,816 as per the given fractions.
LCM of 451,816 is 368016 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 20,931
∴ 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 931
List of positive integer factors of 931 that divides 931 without a remainder.
1,7,19,49,133,931
Greatest Common Factor
We found the factors 20,931 . The biggest common factor number is the GCF number.
So the greatest common factor 20,931 is 1.
Lets's calculate LCM of 451,816
Given numbers has no common factors except 1. So, there LCM is their product i.e 368016
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/368016
Therefore, the GCF of Fractions 20/451,931/816 is 1/368016
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 451,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(451,816) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(451,816) x common factors =1 x 1 = 1
LCM(451,816) = ( 451 × 816 ) / 1
LCM(451,816) = 368016 / 1
LCM(451,816) = 368016
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 20/451, 931/816?
Answer: GCF of Numerators as per given numbers 20/451, 931/816 is
GCF of Numerators i.e. for 20,931 is 1
LCM of denominators i.e. for 451,816 is 368016.
Thus, GCF of Fractions is 1/368016.Finally, GCF of Fractions for 20/451, 931/816 is 1/368016.