Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 836/16,425/47,439/168
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 836,425,439
Greatest Common Factor of Numerators i.e. GCF of 836,425,439 is 1 .
LCM of Denominators means LCM of 16,47,168 as per the given fractions.
LCM of 16,47,168 is 15792 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 836,425,439
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 836
List of positive integer factors of 836 that divides 836 without a remainder.
1,2,4,11,19,22,38,44,76,209,418,836
Factors of 425
List of positive integer factors of 425 that divides 425 without a remainder.
1,5,17,25,85,425
Factors of 439
List of positive integer factors of 439 that divides 439 without a remainder.
1,439
Greatest Common Factor
We found the factors 836,425,439 . The biggest common factor number is the GCF number.
So the greatest common factor 836,425,439 is 1.
Lets's calculate LCM of 16,47,168
2 | 16, 47, 168 |
2 | 8, 47, 84 |
2 | 4, 47, 42 |
2, 47, 21 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 47 x 21 = 15792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15792
Therefore, the GCF of Fractions 836/16,425/47,439/168 is 1/15792
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 16,47,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,47,168) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(16,47,168) x common factors =1 x 8 = 8
LCM(16,47,168) = ( 16 × 47 × 168 ) / 8
LCM(16,47,168) = 126336 / 8
LCM(16,47,168) = 15792
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 836/16, 425/47, 439/168?
Answer: GCF of Numerators as per given numbers 836/16, 425/47, 439/168 is
GCF of Numerators i.e. for 836,425,439 is 1
LCM of denominators i.e. for 16,47,168 is 15792.
Thus, GCF of Fractions is 1/15792.Finally, GCF of Fractions for 836/16, 425/47, 439/168 is 1/15792.