Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 415/34,202/77,914/847
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 415,202,914
Greatest Common Factor of Numerators i.e. GCF of 415,202,914 is 1 .
LCM of Denominators means LCM of 34,77,847 as per the given fractions.
LCM of 34,77,847 is 28798 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 415,202,914
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 415
List of positive integer factors of 415 that divides 415 without a remainder.
1,5,83,415
Factors of 202
List of positive integer factors of 202 that divides 202 without a remainder.
1,2,101,202
Factors of 914
List of positive integer factors of 914 that divides 914 without a remainder.
1,2,457,914
Greatest Common Factor
We found the factors 415,202,914 . The biggest common factor number is the GCF number.
So the greatest common factor 415,202,914 is 1.
Lets's calculate LCM of 34,77,847
7 | 34, 77, 847 |
11 | 34, 11, 121 |
34, 1, 11 |
∴ So the LCM of the given numbers is 7 x 11 x 34 x 1 x 11 = 28798
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28798
Therefore, the GCF of Fractions 415/34,202/77,914/847 is 1/28798
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 34,77,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,77,847) = 1
common factors(in case of two or more numbers have common factors) = 77
GCF(34,77,847) x common factors =1 x 77 = 77
LCM(34,77,847) = ( 34 × 77 × 847 ) / 77
LCM(34,77,847) = 2217446 / 77
LCM(34,77,847) = 28798
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 415/34, 202/77, 914/847?
Answer: GCF of Numerators as per given numbers 415/34, 202/77, 914/847 is
GCF of Numerators i.e. for 415,202,914 is 1
LCM of denominators i.e. for 34,77,847 is 28798.
Thus, GCF of Fractions is 1/28798.Finally, GCF of Fractions for 415/34, 202/77, 914/847 is 1/28798.