Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5491/54,8502/296
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 5491,8502
Greatest Common Factor of Numerators i.e. GCF of 5491,8502 is 1 .
LCM of Denominators means LCM of 54,296 as per the given fractions.
LCM of 54,296 is 7992 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5491,8502
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5491
List of positive integer factors of 5491 that divides 5491 without a remainder.
1,17,19,289,323,5491
Factors of 8502
List of positive integer factors of 8502 that divides 8502 without a remainder.
1,2,3,6,13,26,39,78,109,218,327,654,1417,2834,4251,8502
Greatest Common Factor
We found the factors 5491,8502 . The biggest common factor number is the GCF number.
So the greatest common factor 5491,8502 is 1.
Lets's calculate LCM of 54,296
2 | 54, 296 |
27, 148 |
∴ So the LCM of the given numbers is 2 x 27 x 148 = 7992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7992
Therefore, the GCF of Fractions 5491/54,8502/296 is 1/7992
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 54,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,296) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(54,296) x common factors =2 x 1 = 2
LCM(54,296) = ( 54 × 296 ) / 2
LCM(54,296) = 15984 / 2
LCM(54,296) = 7992
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 5491/54, 8502/296?
Answer: GCF of Numerators as per given numbers 5491/54, 8502/296 is
GCF of Numerators i.e. for 5491,8502 is 1
LCM of denominators i.e. for 54,296 is 7992.
Thus, GCF of Fractions is 1/7992.Finally, GCF of Fractions for 5491/54, 8502/296 is 1/7992.