Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8597/733,7890/272
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 8597,7890
Greatest Common Factor of Numerators i.e. GCF of 8597,7890 is 1 .
LCM of Denominators means LCM of 733,272 as per the given fractions.
LCM of 733,272 is 199376 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8597,7890
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8597
List of positive integer factors of 8597 that divides 8597 without a remainder.
1,8597
Factors of 7890
List of positive integer factors of 7890 that divides 7890 without a remainder.
1,2,3,5,6,10,15,30,263,526,789,1315,1578,2630,3945,7890
Greatest Common Factor
We found the factors 8597,7890 . The biggest common factor number is the GCF number.
So the greatest common factor 8597,7890 is 1.
Lets's calculate LCM of 733,272
Given numbers has no common factors except 1. So, there LCM is their product i.e 199376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/199376
Therefore, the GCF of Fractions 8597/733,7890/272 is 1/199376
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 733,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(733,272) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(733,272) x common factors =1 x 1 = 1
LCM(733,272) = ( 733 × 272 ) / 1
LCM(733,272) = 199376 / 1
LCM(733,272) = 199376
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 8597/733, 7890/272?
Answer: GCF of Numerators as per given numbers 8597/733, 7890/272 is
GCF of Numerators i.e. for 8597,7890 is 1
LCM of denominators i.e. for 733,272 is 199376.
Thus, GCF of Fractions is 1/199376.Finally, GCF of Fractions for 8597/733, 7890/272 is 1/199376.