Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 629/75,629/8078
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 629,629
Greatest Common Factor of Numerators i.e. GCF of 629,629 is 629 .
LCM of Denominators means LCM of 75,8078 as per the given fractions.
LCM of 75,8078 is 605850 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 629,629
17 | 629, 629 |
37 | 37, 37 |
1, 1 |
∴ So the GCF of the given numbers is 17 x 37 = 629
Factors of 629
List of positive integer factors of 629 that divides 629 without a remainder.
1,17,37,629
Factors of 629
List of positive integer factors of 629 that divides 629 without a remainder.
1,17,37,629
Greatest Common Factor
We found the factors 629,629 . The biggest common factor number is the GCF number.
So the greatest common factor 629,629 is 629.
Lets's calculate LCM of 75,8078
Given numbers has no common factors except 1. So, there LCM is their product i.e 605850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 629/605850
Therefore, the GCF of Fractions 629/75,629/8078 is 629/605850
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 75,8078 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,8078) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(75,8078) x common factors =1 x 1 = 1
LCM(75,8078) = ( 75 × 8078 ) / 1
LCM(75,8078) = 605850 / 1
LCM(75,8078) = 605850
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 629/75, 629/8078?
Answer: GCF of Numerators as per given numbers 629/75, 629/8078 is
GCF of Numerators i.e. for 629,629 is 629
LCM of denominators i.e. for 75,8078 is 605850.
Thus, GCF of Fractions is 629/605850.Finally, GCF of Fractions for 629/75, 629/8078 is 629/605850.