Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9559/607,3356/2196
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 9559,3356
Greatest Common Factor of Numerators i.e. GCF of 9559,3356 is 1 .
LCM of Denominators means LCM of 607,2196 as per the given fractions.
LCM of 607,2196 is 1332972 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9559,3356
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9559
List of positive integer factors of 9559 that divides 9559 without a remainder.
1,11,79,121,869,9559
Factors of 3356
List of positive integer factors of 3356 that divides 3356 without a remainder.
1,2,4,839,1678,3356
Greatest Common Factor
We found the factors 9559,3356 . The biggest common factor number is the GCF number.
So the greatest common factor 9559,3356 is 1.
Lets's calculate LCM of 607,2196
Given numbers has no common factors except 1. So, there LCM is their product i.e 1332972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1332972
Therefore, the GCF of Fractions 9559/607,3356/2196 is 1/1332972
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 607,2196 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(607,2196) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(607,2196) x common factors =1 x 1 = 1
LCM(607,2196) = ( 607 × 2196 ) / 1
LCM(607,2196) = 1332972 / 1
LCM(607,2196) = 1332972
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 9559/607, 3356/2196?
Answer: GCF of Numerators as per given numbers 9559/607, 3356/2196 is
GCF of Numerators i.e. for 9559,3356 is 1
LCM of denominators i.e. for 607,2196 is 1332972.
Thus, GCF of Fractions is 1/1332972.Finally, GCF of Fractions for 9559/607, 3356/2196 is 1/1332972.