Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 958/412,361/774
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 958,361
Greatest Common Factor of Numerators i.e. GCF of 958,361 is 1 .
LCM of Denominators means LCM of 412,774 as per the given fractions.
LCM of 412,774 is 159444 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 958,361
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 958
List of positive integer factors of 958 that divides 958 without a remainder.
1,2,479,958
Factors of 361
List of positive integer factors of 361 that divides 361 without a remainder.
1,19,361
Greatest Common Factor
We found the factors 958,361 . The biggest common factor number is the GCF number.
So the greatest common factor 958,361 is 1.
Lets's calculate LCM of 412,774
2 | 412, 774 |
206, 387 |
∴ So the LCM of the given numbers is 2 x 206 x 387 = 159444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/159444
Therefore, the GCF of Fractions 958/412,361/774 is 1/159444
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 412,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(412,774) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(412,774) x common factors =2 x 1 = 2
LCM(412,774) = ( 412 × 774 ) / 2
LCM(412,774) = 318888 / 2
LCM(412,774) = 159444
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 958/412, 361/774?
Answer: GCF of Numerators as per given numbers 958/412, 361/774 is
GCF of Numerators i.e. for 958,361 is 1
LCM of denominators i.e. for 412,774 is 159444.
Thus, GCF of Fractions is 1/159444.Finally, GCF of Fractions for 958/412, 361/774 is 1/159444.