Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7604/436,7339/115
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 7604,7339
Greatest Common Factor of Numerators i.e. GCF of 7604,7339 is 1 .
LCM of Denominators means LCM of 436,115 as per the given fractions.
LCM of 436,115 is 50140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7604,7339
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7604
List of positive integer factors of 7604 that divides 7604 without a remainder.
1,2,4,1901,3802,7604
Factors of 7339
List of positive integer factors of 7339 that divides 7339 without a remainder.
1,41,179,7339
Greatest Common Factor
We found the factors 7604,7339 . The biggest common factor number is the GCF number.
So the greatest common factor 7604,7339 is 1.
Lets's calculate LCM of 436,115
Given numbers has no common factors except 1. So, there LCM is their product i.e 50140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50140
Therefore, the GCF of Fractions 7604/436,7339/115 is 1/50140
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 436,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(436,115) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(436,115) x common factors =1 x 1 = 1
LCM(436,115) = ( 436 × 115 ) / 1
LCM(436,115) = 50140 / 1
LCM(436,115) = 50140
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 7604/436, 7339/115?
Answer: GCF of Numerators as per given numbers 7604/436, 7339/115 is
GCF of Numerators i.e. for 7604,7339 is 1
LCM of denominators i.e. for 436,115 is 50140.
Thus, GCF of Fractions is 1/50140.Finally, GCF of Fractions for 7604/436, 7339/115 is 1/50140.