Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7387/73,5688/293
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 7387,5688
Greatest Common Factor of Numerators i.e. GCF of 7387,5688 is 1 .
LCM of Denominators means LCM of 73,293 as per the given fractions.
LCM of 73,293 is 21389 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7387,5688
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7387
List of positive integer factors of 7387 that divides 7387 without a remainder.
1,83,89,7387
Factors of 5688
List of positive integer factors of 5688 that divides 5688 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72,79,158,237,316,474,632,711,948,1422,1896,2844,5688
Greatest Common Factor
We found the factors 7387,5688 . The biggest common factor number is the GCF number.
So the greatest common factor 7387,5688 is 1.
Lets's calculate LCM of 73,293
Given numbers has no common factors except 1. So, there LCM is their product i.e 21389
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21389
Therefore, the GCF of Fractions 7387/73,5688/293 is 1/21389
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 73,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,293) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,293) x common factors =1 x 1 = 1
LCM(73,293) = ( 73 × 293 ) / 1
LCM(73,293) = 21389 / 1
LCM(73,293) = 21389
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 7387/73, 5688/293?
Answer: GCF of Numerators as per given numbers 7387/73, 5688/293 is
GCF of Numerators i.e. for 7387,5688 is 1
LCM of denominators i.e. for 73,293 is 21389.
Thus, GCF of Fractions is 1/21389.Finally, GCF of Fractions for 7387/73, 5688/293 is 1/21389.