Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6032/85,7229/436
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 6032,7229
Greatest Common Factor of Numerators i.e. GCF of 6032,7229 is 1 .
LCM of Denominators means LCM of 85,436 as per the given fractions.
LCM of 85,436 is 37060 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6032,7229
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6032
List of positive integer factors of 6032 that divides 6032 without a remainder.
1,2,4,8,13,16,26,29,52,58,104,116,208,232,377,464,754,1508,3016,6032
Factors of 7229
List of positive integer factors of 7229 that divides 7229 without a remainder.
1,7229
Greatest Common Factor
We found the factors 6032,7229 . The biggest common factor number is the GCF number.
So the greatest common factor 6032,7229 is 1.
Lets's calculate LCM of 85,436
Given numbers has no common factors except 1. So, there LCM is their product i.e 37060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37060
Therefore, the GCF of Fractions 6032/85,7229/436 is 1/37060
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 85,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,436) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,436) x common factors =1 x 1 = 1
LCM(85,436) = ( 85 × 436 ) / 1
LCM(85,436) = 37060 / 1
LCM(85,436) = 37060
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 6032/85, 7229/436?
Answer: GCF of Numerators as per given numbers 6032/85, 7229/436 is
GCF of Numerators i.e. for 6032,7229 is 1
LCM of denominators i.e. for 85,436 is 37060.
Thus, GCF of Fractions is 1/37060.Finally, GCF of Fractions for 6032/85, 7229/436 is 1/37060.