Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 58/11,424/85,416/814
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 58,424,416
Greatest Common Factor of Numerators i.e. GCF of 58,424,416 is 2 .
LCM of Denominators means LCM of 11,85,814 as per the given fractions.
LCM of 11,85,814 is 69190 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 58,424,416
2 | 58, 424, 416 |
29, 212, 208 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 424
List of positive integer factors of 424 that divides 424 without a remainder.
1,2,4,8,53,106,212,424
Factors of 416
List of positive integer factors of 416 that divides 416 without a remainder.
1,2,4,8,13,16,26,32,52,104,208,416
Greatest Common Factor
We found the factors 58,424,416 . The biggest common factor number is the GCF number.
So the greatest common factor 58,424,416 is 2.
Lets's calculate LCM of 11,85,814
11 | 11, 85, 814 |
1, 85, 74 |
∴ So the LCM of the given numbers is 11 x 1 x 85 x 74 = 69190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/69190
Therefore, the GCF of Fractions 58/11,424/85,416/814 is 2/69190
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 11,85,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,85,814) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(11,85,814) x common factors =1 x 11 = 11
LCM(11,85,814) = ( 11 × 85 × 814 ) / 11
LCM(11,85,814) = 761090 / 11
LCM(11,85,814) = 69190
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 58/11, 424/85, 416/814?
Answer: GCF of Numerators as per given numbers 58/11, 424/85, 416/814 is
GCF of Numerators i.e. for 58,424,416 is 2
LCM of denominators i.e. for 11,85,814 is 69190.
Thus, GCF of Fractions is 2/69190.Finally, GCF of Fractions for 58/11, 424/85, 416/814 is 2/69190.