Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 56/486,194/397,836/887
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 56,194,836
Greatest Common Factor of Numerators i.e. GCF of 56,194,836 is 2 .
LCM of Denominators means LCM of 486,397,887 as per the given fractions.
LCM of 486,397,887 is 171139554 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 56,194,836
2 | 56, 194, 836 |
28, 97, 418 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 194
List of positive integer factors of 194 that divides 194 without a remainder.
1,2,97,194
Factors of 836
List of positive integer factors of 836 that divides 836 without a remainder.
1,2,4,11,19,22,38,44,76,209,418,836
Greatest Common Factor
We found the factors 56,194,836 . The biggest common factor number is the GCF number.
So the greatest common factor 56,194,836 is 2.
Lets's calculate LCM of 486,397,887
Given numbers has no common factors except 1. So, there LCM is their product i.e 171139554
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/171139554
Therefore, the GCF of Fractions 56/486,194/397,836/887 is 2/171139554
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 486,397,887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(486,397,887) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(486,397,887) x common factors =1 x 1 = 1
LCM(486,397,887) = ( 486 × 397 × 887 ) / 1
LCM(486,397,887) = 171139554 / 1
LCM(486,397,887) = 171139554
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 56/486, 194/397, 836/887?
Answer: GCF of Numerators as per given numbers 56/486, 194/397, 836/887 is
GCF of Numerators i.e. for 56,194,836 is 2
LCM of denominators i.e. for 486,397,887 is 171139554.
Thus, GCF of Fractions is 2/171139554.Finally, GCF of Fractions for 56/486, 194/397, 836/887 is 2/171139554.