Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 198/8095,487/5472
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 198,487
Greatest Common Factor of Numerators i.e. GCF of 198,487 is 1 .
LCM of Denominators means LCM of 8095,5472 as per the given fractions.
LCM of 8095,5472 is 44295840 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 198,487
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 198
List of positive integer factors of 198 that divides 198 without a remainder.
1,2,3,6,9,11,18,22,33,66,99,198
Factors of 487
List of positive integer factors of 487 that divides 487 without a remainder.
1,487
Greatest Common Factor
We found the factors 198,487 . The biggest common factor number is the GCF number.
So the greatest common factor 198,487 is 1.
Lets's calculate LCM of 8095,5472
Given numbers has no common factors except 1. So, there LCM is their product i.e 44295840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44295840
Therefore, the GCF of Fractions 198/8095,487/5472 is 1/44295840
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 8095,5472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8095,5472) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8095,5472) x common factors =1 x 1 = 1
LCM(8095,5472) = ( 8095 × 5472 ) / 1
LCM(8095,5472) = 44295840 / 1
LCM(8095,5472) = 44295840
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 198/8095, 487/5472?
Answer: GCF of Numerators as per given numbers 198/8095, 487/5472 is
GCF of Numerators i.e. for 198,487 is 1
LCM of denominators i.e. for 8095,5472 is 44295840.
Thus, GCF of Fractions is 1/44295840.Finally, GCF of Fractions for 198/8095, 487/5472 is 1/44295840.