Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 799/52,9009/251
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 799,9009
Greatest Common Factor of Numerators i.e. GCF of 799,9009 is 1 .
LCM of Denominators means LCM of 52,251 as per the given fractions.
LCM of 52,251 is 13052 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 799,9009
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1,17,47,799
Factors of 9009
List of positive integer factors of 9009 that divides 9009 without a remainder.
1,3,7,9,11,13,21,33,39,63,77,91,99,117,143,231,273,429,693,819,1001,1287,3003,9009
Greatest Common Factor
We found the factors 799,9009 . The biggest common factor number is the GCF number.
So the greatest common factor 799,9009 is 1.
Lets's calculate LCM of 52,251
Given numbers has no common factors except 1. So, there LCM is their product i.e 13052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13052
Therefore, the GCF of Fractions 799/52,9009/251 is 1/13052
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 52,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,251) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(52,251) x common factors =1 x 1 = 1
LCM(52,251) = ( 52 × 251 ) / 1
LCM(52,251) = 13052 / 1
LCM(52,251) = 13052
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 799/52, 9009/251?
Answer: GCF of Numerators as per given numbers 799/52, 9009/251 is
GCF of Numerators i.e. for 799,9009 is 1
LCM of denominators i.e. for 52,251 is 13052.
Thus, GCF of Fractions is 1/13052.Finally, GCF of Fractions for 799/52, 9009/251 is 1/13052.