Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 64/73,28/47,33/49,99/897
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 64,28,33,99
Greatest Common Factor of Numerators i.e. GCF of 64,28,33,99 is 1 .
LCM of Denominators means LCM of 73,47,49,897 as per the given fractions.
LCM of 73,47,49,897 is 150802743 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 64,28,33,99
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Greatest Common Factor
We found the factors 64,28,33,99 . The biggest common factor number is the GCF number.
So the greatest common factor 64,28,33,99 is 1.
Lets's calculate LCM of 73,47,49,897
Given numbers has no common factors except 1. So, there LCM is their product i.e 150802743
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/150802743
Therefore, the GCF of Fractions 64/73,28/47,33/49,99/897 is 1/150802743
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 73,47,49,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,47,49,897) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,47,49,897) x common factors =1 x 1 = 1
LCM(73,47,49,897) = ( 73 × 47 × 49 × 897 ) / 1
LCM(73,47,49,897) = 150802743 / 1
LCM(73,47,49,897) = 150802743
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 64/73, 28/47, 33/49, 99/897?
Answer: GCF of Numerators as per given numbers 64/73, 28/47, 33/49, 99/897 is
GCF of Numerators i.e. for 64,28,33,99 is 1
LCM of denominators i.e. for 73,47,49,897 is 150802743.
Thus, GCF of Fractions is 1/150802743.Finally, GCF of Fractions for 64/73, 28/47, 33/49, 99/897 is 1/150802743.