Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 777/61,789/15,296/875
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 777,789,296
Greatest Common Factor of Numerators i.e. GCF of 777,789,296 is 1 .
LCM of Denominators means LCM of 61,15,875 as per the given fractions.
LCM of 61,15,875 is 160125 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 777,789,296
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 777
List of positive integer factors of 777 that divides 777 without a remainder.
1,3,7,21,37,111,259,777
Factors of 789
List of positive integer factors of 789 that divides 789 without a remainder.
1,3,263,789
Factors of 296
List of positive integer factors of 296 that divides 296 without a remainder.
1,2,4,8,37,74,148,296
Greatest Common Factor
We found the factors 777,789,296 . The biggest common factor number is the GCF number.
So the greatest common factor 777,789,296 is 1.
Lets's calculate LCM of 61,15,875
5 | 61, 15, 875 |
61, 3, 175 |
∴ So the LCM of the given numbers is 5 x 61 x 3 x 175 = 160125
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/160125
Therefore, the GCF of Fractions 777/61,789/15,296/875 is 1/160125
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 61,15,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,15,875) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(61,15,875) x common factors =1 x 5 = 5
LCM(61,15,875) = ( 61 × 15 × 875 ) / 5
LCM(61,15,875) = 800625 / 5
LCM(61,15,875) = 160125
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 777/61, 789/15, 296/875?
Answer: GCF of Numerators as per given numbers 777/61, 789/15, 296/875 is
GCF of Numerators i.e. for 777,789,296 is 1
LCM of denominators i.e. for 61,15,875 is 160125.
Thus, GCF of Fractions is 1/160125.Finally, GCF of Fractions for 777/61, 789/15, 296/875 is 1/160125.