Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 777/823,3858/835
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 777,3858
Greatest Common Factor of Numerators i.e. GCF of 777,3858 is 3 .
LCM of Denominators means LCM of 823,835 as per the given fractions.
LCM of 823,835 is 687205 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 777,3858
3 | 777, 3858 |
259, 1286 |
∴ So the GCF of the given numbers is 3 = 3
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 3858
List of positive integer factors of 3858 that divides 3858 without a remainder.
1,2,3,6,643,1286,1929,3858
Greatest Common Factor
We found the factors 777,3858 . The biggest common factor number is the GCF number.
So the greatest common factor 777,3858 is 3.
Lets's calculate LCM of 823,835
Given numbers has no common factors except 1. So, there LCM is their product i.e 687205
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/687205
Therefore, the GCF of Fractions 777/823,3858/835 is 3/687205
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 823,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(823,835) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(823,835) x common factors =1 x 1 = 1
LCM(823,835) = ( 823 × 835 ) / 1
LCM(823,835) = 687205 / 1
LCM(823,835) = 687205
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 777/823, 3858/835?
Answer: GCF of Numerators as per given numbers 777/823, 3858/835 is
GCF of Numerators i.e. for 777,3858 is 3
LCM of denominators i.e. for 823,835 is 687205.
Thus, GCF of Fractions is 3/687205.Finally, GCF of Fractions for 777/823, 3858/835 is 3/687205.