Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 121/33,302/5420
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 121,302
Greatest Common Factor of Numerators i.e. GCF of 121,302 is 1 .
LCM of Denominators means LCM of 33,5420 as per the given fractions.
LCM of 33,5420 is 178860 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 121,302
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 121
List of positive integer factors of 121 that divides 121 without a remainder.
1,11,121
Factors of 302
List of positive integer factors of 302 that divides 302 without a remainder.
1,2,151,302
Greatest Common Factor
We found the factors 121,302 . The biggest common factor number is the GCF number.
So the greatest common factor 121,302 is 1.
Lets's calculate LCM of 33,5420
Given numbers has no common factors except 1. So, there LCM is their product i.e 178860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/178860
Therefore, the GCF of Fractions 121/33,302/5420 is 1/178860
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 33,5420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,5420) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,5420) x common factors =1 x 1 = 1
LCM(33,5420) = ( 33 × 5420 ) / 1
LCM(33,5420) = 178860 / 1
LCM(33,5420) = 178860
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 121/33, 302/5420?
Answer: GCF of Numerators as per given numbers 121/33, 302/5420 is
GCF of Numerators i.e. for 121,302 is 1
LCM of denominators i.e. for 33,5420 is 178860.
Thus, GCF of Fractions is 1/178860.Finally, GCF of Fractions for 121/33, 302/5420 is 1/178860.