Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9272/128,9287/5115
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 9272,9287
Greatest Common Factor of Numerators i.e. GCF of 9272,9287 is 1 .
LCM of Denominators means LCM of 128,5115 as per the given fractions.
LCM of 128,5115 is 654720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9272,9287
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9272
List of positive integer factors of 9272 that divides 9272 without a remainder.
1,2,4,8,19,38,61,76,122,152,244,488,1159,2318,4636,9272
Factors of 9287
List of positive integer factors of 9287 that divides 9287 without a remainder.
1,37,251,9287
Greatest Common Factor
We found the factors 9272,9287 . The biggest common factor number is the GCF number.
So the greatest common factor 9272,9287 is 1.
Lets's calculate LCM of 128,5115
Given numbers has no common factors except 1. So, there LCM is their product i.e 654720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/654720
Therefore, the GCF of Fractions 9272/128,9287/5115 is 1/654720
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 128,5115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,5115) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(128,5115) x common factors =1 x 1 = 1
LCM(128,5115) = ( 128 × 5115 ) / 1
LCM(128,5115) = 654720 / 1
LCM(128,5115) = 654720
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 9272/128, 9287/5115?
Answer: GCF of Numerators as per given numbers 9272/128, 9287/5115 is
GCF of Numerators i.e. for 9272,9287 is 1
LCM of denominators i.e. for 128,5115 is 654720.
Thus, GCF of Fractions is 1/654720.Finally, GCF of Fractions for 9272/128, 9287/5115 is 1/654720.