Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 412/107,4990/765
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 412,4990
Greatest Common Factor of Numerators i.e. GCF of 412,4990 is 2 .
LCM of Denominators means LCM of 107,765 as per the given fractions.
LCM of 107,765 is 81855 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 412,4990
2 | 412, 4990 |
206, 2495 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 412
List of positive integer factors of 412 that divides 412 without a remainder.
1,2,4,103,206,412
Factors of 4990
List of positive integer factors of 4990 that divides 4990 without a remainder.
1,2,5,10,499,998,2495,4990
Greatest Common Factor
We found the factors 412,4990 . The biggest common factor number is the GCF number.
So the greatest common factor 412,4990 is 2.
Lets's calculate LCM of 107,765
Given numbers has no common factors except 1. So, there LCM is their product i.e 81855
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/81855
Therefore, the GCF of Fractions 412/107,4990/765 is 2/81855
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 107,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(107,765) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(107,765) x common factors =1 x 1 = 1
LCM(107,765) = ( 107 × 765 ) / 1
LCM(107,765) = 81855 / 1
LCM(107,765) = 81855
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 412/107, 4990/765?
Answer: GCF of Numerators as per given numbers 412/107, 4990/765 is
GCF of Numerators i.e. for 412,4990 is 2
LCM of denominators i.e. for 107,765 is 81855.
Thus, GCF of Fractions is 2/81855.Finally, GCF of Fractions for 412/107, 4990/765 is 2/81855.