Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 408/477,853/168,838/371
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 408,853,838
Greatest Common Factor of Numerators i.e. GCF of 408,853,838 is 1 .
LCM of Denominators means LCM of 477,168,371 as per the given fractions.
LCM of 477,168,371 is 26712 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 408,853,838
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 408
List of positive integer factors of 408 that divides 408 without a remainder.
1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Factors of 853
List of positive integer factors of 853 that divides 853 without a remainder.
1,853
Factors of 838
List of positive integer factors of 838 that divides 838 without a remainder.
1,2,419,838
Greatest Common Factor
We found the factors 408,853,838 . The biggest common factor number is the GCF number.
So the greatest common factor 408,853,838 is 1.
Lets's calculate LCM of 477,168,371
3 | 477, 168, 371 |
7 | 159, 56, 371 |
53 | 159, 8, 53 |
3, 8, 1 |
∴ So the LCM of the given numbers is 3 x 7 x 53 x 3 x 8 x 1 = 26712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26712
Therefore, the GCF of Fractions 408/477,853/168,838/371 is 1/26712
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 477,168,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(477,168,371) = 1
common factors(in case of two or more numbers have common factors) = 1113
GCF(477,168,371) x common factors =1 x 1113 = 1113
LCM(477,168,371) = ( 477 × 168 × 371 ) / 1113
LCM(477,168,371) = 29730456 / 1113
LCM(477,168,371) = 26712
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 408/477, 853/168, 838/371?
Answer: GCF of Numerators as per given numbers 408/477, 853/168, 838/371 is
GCF of Numerators i.e. for 408,853,838 is 1
LCM of denominators i.e. for 477,168,371 is 26712.
Thus, GCF of Fractions is 1/26712.Finally, GCF of Fractions for 408/477, 853/168, 838/371 is 1/26712.