Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 978/675,5918/411
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 978,5918
Greatest Common Factor of Numerators i.e. GCF of 978,5918 is 2 .
LCM of Denominators means LCM of 675,411 as per the given fractions.
LCM of 675,411 is 92475 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 978,5918
2 | 978, 5918 |
489, 2959 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 978
List of positive integer factors of 978 that divides 978 without a remainder.
1,2,3,6,163,326,489,978
Factors of 5918
List of positive integer factors of 5918 that divides 5918 without a remainder.
1,2,11,22,269,538,2959,5918
Greatest Common Factor
We found the factors 978,5918 . The biggest common factor number is the GCF number.
So the greatest common factor 978,5918 is 2.
Lets's calculate LCM of 675,411
3 | 675, 411 |
225, 137 |
∴ So the LCM of the given numbers is 3 x 225 x 137 = 92475
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/92475
Therefore, the GCF of Fractions 978/675,5918/411 is 2/92475
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 675,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(675,411) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(675,411) x common factors =3 x 1 = 3
LCM(675,411) = ( 675 × 411 ) / 3
LCM(675,411) = 277425 / 3
LCM(675,411) = 92475
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 978/675, 5918/411?
Answer: GCF of Numerators as per given numbers 978/675, 5918/411 is
GCF of Numerators i.e. for 978,5918 is 2
LCM of denominators i.e. for 675,411 is 92475.
Thus, GCF of Fractions is 2/92475.Finally, GCF of Fractions for 978/675, 5918/411 is 2/92475.