Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 978/118,778/809,162/729
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 978,778,162
Greatest Common Factor of Numerators i.e. GCF of 978,778,162 is 2 .
LCM of Denominators means LCM of 118,809,729 as per the given fractions.
LCM of 118,809,729 is 69591798 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 978,778,162
2 | 978, 778, 162 |
489, 389, 81 |
∴ 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 778
List of positive integer factors of 778 that divides 778 without a remainder.
1,2,389,778
Factors of 162
List of positive integer factors of 162 that divides 162 without a remainder.
1,2,3,6,9,18,27,54,81,162
Greatest Common Factor
We found the factors 978,778,162 . The biggest common factor number is the GCF number.
So the greatest common factor 978,778,162 is 2.
Lets's calculate LCM of 118,809,729
Given numbers has no common factors except 1. So, there LCM is their product i.e 69591798
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/69591798
Therefore, the GCF of Fractions 978/118,778/809,162/729 is 2/69591798
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 118,809,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(118,809,729) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(118,809,729) x common factors =1 x 1 = 1
LCM(118,809,729) = ( 118 × 809 × 729 ) / 1
LCM(118,809,729) = 69591798 / 1
LCM(118,809,729) = 69591798
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 978/118, 778/809, 162/729?
Answer: GCF of Numerators as per given numbers 978/118, 778/809, 162/729 is
GCF of Numerators i.e. for 978,778,162 is 2
LCM of denominators i.e. for 118,809,729 is 69591798.
Thus, GCF of Fractions is 2/69591798.Finally, GCF of Fractions for 978/118, 778/809, 162/729 is 2/69591798.