Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9007/95,4989/122
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 9007,4989
Greatest Common Factor of Numerators i.e. GCF of 9007,4989 is 1 .
LCM of Denominators means LCM of 95,122 as per the given fractions.
LCM of 95,122 is 11590 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9007,4989
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9007
List of positive integer factors of 9007 that divides 9007 without a remainder.
1,9007
Factors of 4989
List of positive integer factors of 4989 that divides 4989 without a remainder.
1,3,1663,4989
Greatest Common Factor
We found the factors 9007,4989 . The biggest common factor number is the GCF number.
So the greatest common factor 9007,4989 is 1.
Lets's calculate LCM of 95,122
Given numbers has no common factors except 1. So, there LCM is their product i.e 11590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11590
Therefore, the GCF of Fractions 9007/95,4989/122 is 1/11590
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 95,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,122) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,122) x common factors =1 x 1 = 1
LCM(95,122) = ( 95 × 122 ) / 1
LCM(95,122) = 11590 / 1
LCM(95,122) = 11590
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 9007/95, 4989/122?
Answer: GCF of Numerators as per given numbers 9007/95, 4989/122 is
GCF of Numerators i.e. for 9007,4989 is 1
LCM of denominators i.e. for 95,122 is 11590.
Thus, GCF of Fractions is 1/11590.Finally, GCF of Fractions for 9007/95, 4989/122 is 1/11590.