Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 121/521,734/309
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 121,734
Greatest Common Factor of Numerators i.e. GCF of 121,734 is 1 .
LCM of Denominators means LCM of 521,309 as per the given fractions.
LCM of 521,309 is 160989 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 121,734
∴ 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 734
List of positive integer factors of 734 that divides 734 without a remainder.
1,2,367,734
Greatest Common Factor
We found the factors 121,734 . The biggest common factor number is the GCF number.
So the greatest common factor 121,734 is 1.
Lets's calculate LCM of 521,309
Given numbers has no common factors except 1. So, there LCM is their product i.e 160989
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/160989
Therefore, the GCF of Fractions 121/521,734/309 is 1/160989
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 521,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(521,309) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(521,309) x common factors =1 x 1 = 1
LCM(521,309) = ( 521 × 309 ) / 1
LCM(521,309) = 160989 / 1
LCM(521,309) = 160989
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 121/521, 734/309?
Answer: GCF of Numerators as per given numbers 121/521, 734/309 is
GCF of Numerators i.e. for 121,734 is 1
LCM of denominators i.e. for 521,309 is 160989.
Thus, GCF of Fractions is 1/160989.Finally, GCF of Fractions for 121/521, 734/309 is 1/160989.