Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 149/883,9110/497
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 149,9110
Greatest Common Factor of Numerators i.e. GCF of 149,9110 is 1 .
LCM of Denominators means LCM of 883,497 as per the given fractions.
LCM of 883,497 is 438851 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 149,9110
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 149
List of positive integer factors of 149 that divides 149 without a remainder.
1,149
Factors of 9110
List of positive integer factors of 9110 that divides 9110 without a remainder.
1,2,5,10,911,1822,4555,9110
Greatest Common Factor
We found the factors 149,9110 . The biggest common factor number is the GCF number.
So the greatest common factor 149,9110 is 1.
Lets's calculate LCM of 883,497
Given numbers has no common factors except 1. So, there LCM is their product i.e 438851
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/438851
Therefore, the GCF of Fractions 149/883,9110/497 is 1/438851
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 883,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,497) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,497) x common factors =1 x 1 = 1
LCM(883,497) = ( 883 × 497 ) / 1
LCM(883,497) = 438851 / 1
LCM(883,497) = 438851
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 149/883, 9110/497?
Answer: GCF of Numerators as per given numbers 149/883, 9110/497 is
GCF of Numerators i.e. for 149,9110 is 1
LCM of denominators i.e. for 883,497 is 438851.
Thus, GCF of Fractions is 1/438851.Finally, GCF of Fractions for 149/883, 9110/497 is 1/438851.