Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 978/56,131/93,388/998
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 978,131,388
Greatest Common Factor of Numerators i.e. GCF of 978,131,388 is 1 .
LCM of Denominators means LCM of 56,93,998 as per the given fractions.
LCM of 56,93,998 is 2598792 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 978,131,388
∴ So GCF of numbers is 1 because of no common factors present between them.
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 131
List of positive integer factors of 131 that divides 131 without a remainder.
1,131
Factors of 388
List of positive integer factors of 388 that divides 388 without a remainder.
1,2,4,97,194,388
Greatest Common Factor
We found the factors 978,131,388 . The biggest common factor number is the GCF number.
So the greatest common factor 978,131,388 is 1.
Lets's calculate LCM of 56,93,998
2 | 56, 93, 998 |
28, 93, 499 |
∴ So the LCM of the given numbers is 2 x 28 x 93 x 499 = 2598792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2598792
Therefore, the GCF of Fractions 978/56,131/93,388/998 is 1/2598792
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 56,93,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,93,998) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(56,93,998) x common factors =1 x 2 = 2
LCM(56,93,998) = ( 56 × 93 × 998 ) / 2
LCM(56,93,998) = 5197584 / 2
LCM(56,93,998) = 2598792
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 978/56, 131/93, 388/998?
Answer: GCF of Numerators as per given numbers 978/56, 131/93, 388/998 is
GCF of Numerators i.e. for 978,131,388 is 1
LCM of denominators i.e. for 56,93,998 is 2598792.
Thus, GCF of Fractions is 1/2598792.Finally, GCF of Fractions for 978/56, 131/93, 388/998 is 1/2598792.