Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1945/720,2957/3339
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 1945,2957
Greatest Common Factor of Numerators i.e. GCF of 1945,2957 is 1 .
LCM of Denominators means LCM of 720,3339 as per the given fractions.
LCM of 720,3339 is 267120 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1945,2957
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1945
List of positive integer factors of 1945 that divides 1945 without a remainder.
1,5,389,1945
Factors of 2957
List of positive integer factors of 2957 that divides 2957 without a remainder.
1,2957
Greatest Common Factor
We found the factors 1945,2957 . The biggest common factor number is the GCF number.
So the greatest common factor 1945,2957 is 1.
Lets's calculate LCM of 720,3339
3 | 720, 3339 |
3 | 240, 1113 |
80, 371 |
∴ So the LCM of the given numbers is 3 x 3 x 80 x 371 = 267120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/267120
Therefore, the GCF of Fractions 1945/720,2957/3339 is 1/267120
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 720,3339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,3339) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(720,3339) x common factors =9 x 1 = 9
LCM(720,3339) = ( 720 × 3339 ) / 9
LCM(720,3339) = 2404080 / 9
LCM(720,3339) = 267120
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 1945/720, 2957/3339?
Answer: GCF of Numerators as per given numbers 1945/720, 2957/3339 is
GCF of Numerators i.e. for 1945,2957 is 1
LCM of denominators i.e. for 720,3339 is 267120.
Thus, GCF of Fractions is 1/267120.Finally, GCF of Fractions for 1945/720, 2957/3339 is 1/267120.