Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2347/519,9373/656
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 2347,9373
Greatest Common Factor of Numerators i.e. GCF of 2347,9373 is 1 .
LCM of Denominators means LCM of 519,656 as per the given fractions.
LCM of 519,656 is 340464 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2347,9373
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2347
List of positive integer factors of 2347 that divides 2347 without a remainder.
1,2347
Factors of 9373
List of positive integer factors of 9373 that divides 9373 without a remainder.
1,7,13,91,103,721,1339,9373
Greatest Common Factor
We found the factors 2347,9373 . The biggest common factor number is the GCF number.
So the greatest common factor 2347,9373 is 1.
Lets's calculate LCM of 519,656
Given numbers has no common factors except 1. So, there LCM is their product i.e 340464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/340464
Therefore, the GCF of Fractions 2347/519,9373/656 is 1/340464
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 519,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(519,656) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(519,656) x common factors =1 x 1 = 1
LCM(519,656) = ( 519 × 656 ) / 1
LCM(519,656) = 340464 / 1
LCM(519,656) = 340464
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 2347/519, 9373/656?
Answer: GCF of Numerators as per given numbers 2347/519, 9373/656 is
GCF of Numerators i.e. for 2347,9373 is 1
LCM of denominators i.e. for 519,656 is 340464.
Thus, GCF of Fractions is 1/340464.Finally, GCF of Fractions for 2347/519, 9373/656 is 1/340464.