Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 604/337,1493/656
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 604,1493
Greatest Common Factor of Numerators i.e. GCF of 604,1493 is 1 .
LCM of Denominators means LCM of 337,656 as per the given fractions.
LCM of 337,656 is 221072 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 604,1493
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 604
List of positive integer factors of 604 that divides 604 without a remainder.
1,2,4,151,302,604
Factors of 1493
List of positive integer factors of 1493 that divides 1493 without a remainder.
1,1493
Greatest Common Factor
We found the factors 604,1493 . The biggest common factor number is the GCF number.
So the greatest common factor 604,1493 is 1.
Lets's calculate LCM of 337,656
Given numbers has no common factors except 1. So, there LCM is their product i.e 221072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/221072
Therefore, the GCF of Fractions 604/337,1493/656 is 1/221072
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 337,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,656) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(337,656) x common factors =1 x 1 = 1
LCM(337,656) = ( 337 × 656 ) / 1
LCM(337,656) = 221072 / 1
LCM(337,656) = 221072
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 604/337, 1493/656?
Answer: GCF of Numerators as per given numbers 604/337, 1493/656 is
GCF of Numerators i.e. for 604,1493 is 1
LCM of denominators i.e. for 337,656 is 221072.
Thus, GCF of Fractions is 1/221072.Finally, GCF of Fractions for 604/337, 1493/656 is 1/221072.