Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 33/92,90/33,478/947
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 33,90,478
Greatest Common Factor of Numerators i.e. GCF of 33,90,478 is 1 .
LCM of Denominators means LCM of 92,33,947 as per the given fractions.
LCM of 92,33,947 is 2875092 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 33,90,478
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 478
List of positive integer factors of 478 that divides 478 without a remainder.
1,2,239,478
Greatest Common Factor
We found the factors 33,90,478 . The biggest common factor number is the GCF number.
So the greatest common factor 33,90,478 is 1.
Lets's calculate LCM of 92,33,947
Given numbers has no common factors except 1. So, there LCM is their product i.e 2875092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2875092
Therefore, the GCF of Fractions 33/92,90/33,478/947 is 1/2875092
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 92,33,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,33,947) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(92,33,947) x common factors =1 x 1 = 1
LCM(92,33,947) = ( 92 × 33 × 947 ) / 1
LCM(92,33,947) = 2875092 / 1
LCM(92,33,947) = 2875092
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 33/92, 90/33, 478/947?
Answer: GCF of Numerators as per given numbers 33/92, 90/33, 478/947 is
GCF of Numerators i.e. for 33,90,478 is 1
LCM of denominators i.e. for 92,33,947 is 2875092.
Thus, GCF of Fractions is 1/2875092.Finally, GCF of Fractions for 33/92, 90/33, 478/947 is 1/2875092.