Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5961/42,7885/233
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 5961,7885
Greatest Common Factor of Numerators i.e. GCF of 5961,7885 is 1 .
LCM of Denominators means LCM of 42,233 as per the given fractions.
LCM of 42,233 is 9786 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5961,7885
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5961
List of positive integer factors of 5961 that divides 5961 without a remainder.
1,3,1987,5961
Factors of 7885
List of positive integer factors of 7885 that divides 7885 without a remainder.
1,5,19,83,95,415,1577,7885
Greatest Common Factor
We found the factors 5961,7885 . The biggest common factor number is the GCF number.
So the greatest common factor 5961,7885 is 1.
Lets's calculate LCM of 42,233
Given numbers has no common factors except 1. So, there LCM is their product i.e 9786
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9786
Therefore, the GCF of Fractions 5961/42,7885/233 is 1/9786
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 42,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,233) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(42,233) x common factors =1 x 1 = 1
LCM(42,233) = ( 42 × 233 ) / 1
LCM(42,233) = 9786 / 1
LCM(42,233) = 9786
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 5961/42, 7885/233?
Answer: GCF of Numerators as per given numbers 5961/42, 7885/233 is
GCF of Numerators i.e. for 5961,7885 is 1
LCM of denominators i.e. for 42,233 is 9786.
Thus, GCF of Fractions is 1/9786.Finally, GCF of Fractions for 5961/42, 7885/233 is 1/9786.