Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4254/590,6961/9888
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 4254,6961
Greatest Common Factor of Numerators i.e. GCF of 4254,6961 is 1 .
LCM of Denominators means LCM of 590,9888 as per the given fractions.
LCM of 590,9888 is 2916960 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4254,6961
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4254
List of positive integer factors of 4254 that divides 4254 without a remainder.
1,2,3,6,709,1418,2127,4254
Factors of 6961
List of positive integer factors of 6961 that divides 6961 without a remainder.
1,6961
Greatest Common Factor
We found the factors 4254,6961 . The biggest common factor number is the GCF number.
So the greatest common factor 4254,6961 is 1.
Lets's calculate LCM of 590,9888
2 | 590, 9888 |
295, 4944 |
∴ So the LCM of the given numbers is 2 x 295 x 4944 = 2916960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2916960
Therefore, the GCF of Fractions 4254/590,6961/9888 is 1/2916960
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 590,9888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,9888) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(590,9888) x common factors =2 x 1 = 2
LCM(590,9888) = ( 590 × 9888 ) / 2
LCM(590,9888) = 5833920 / 2
LCM(590,9888) = 2916960
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 4254/590, 6961/9888?
Answer: GCF of Numerators as per given numbers 4254/590, 6961/9888 is
GCF of Numerators i.e. for 4254,6961 is 1
LCM of denominators i.e. for 590,9888 is 2916960.
Thus, GCF of Fractions is 1/2916960.Finally, GCF of Fractions for 4254/590, 6961/9888 is 1/2916960.