Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1940/146,6590/8092
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 1940,6590
Greatest Common Factor of Numerators i.e. GCF of 1940,6590 is 10 .
LCM of Denominators means LCM of 146,8092 as per the given fractions.
LCM of 146,8092 is 590716 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1940,6590
2 | 1940, 6590 |
5 | 970, 3295 |
194, 659 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 1940
List of positive integer factors of 1940 that divides 1940 without a remainder.
1,2,4,5,10,20,97,194,388,485,970,1940
Factors of 6590
List of positive integer factors of 6590 that divides 6590 without a remainder.
1,2,5,10,659,1318,3295,6590
Greatest Common Factor
We found the factors 1940,6590 . The biggest common factor number is the GCF number.
So the greatest common factor 1940,6590 is 10.
Lets's calculate LCM of 146,8092
2 | 146, 8092 |
73, 4046 |
∴ So the LCM of the given numbers is 2 x 73 x 4046 = 590716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/590716
Therefore, the GCF of Fractions 1940/146,6590/8092 is 10/590716
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 146,8092 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(146,8092) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(146,8092) x common factors =2 x 1 = 2
LCM(146,8092) = ( 146 × 8092 ) / 2
LCM(146,8092) = 1181432 / 2
LCM(146,8092) = 590716
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 1940/146, 6590/8092?
Answer: GCF of Numerators as per given numbers 1940/146, 6590/8092 is
GCF of Numerators i.e. for 1940,6590 is 10
LCM of denominators i.e. for 146,8092 is 590716.
Thus, GCF of Fractions is 10/590716.Finally, GCF of Fractions for 1940/146, 6590/8092 is 10/590716.