Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 339/38,478/24,650/663
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 339,478,650
Greatest Common Factor of Numerators i.e. GCF of 339,478,650 is 1 .
LCM of Denominators means LCM of 38,24,663 as per the given fractions.
LCM of 38,24,663 is 100776 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 339,478,650
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 339
List of positive integer factors of 339 that divides 339 without a remainder.
1,3,113,339
Factors of 478
List of positive integer factors of 478 that divides 478 without a remainder.
1,2,239,478
Factors of 650
List of positive integer factors of 650 that divides 650 without a remainder.
1,2,5,10,13,25,26,50,65,130,325,650
Greatest Common Factor
We found the factors 339,478,650 . The biggest common factor number is the GCF number.
So the greatest common factor 339,478,650 is 1.
Lets's calculate LCM of 38,24,663
2 | 38, 24, 663 |
3 | 19, 12, 663 |
19, 4, 221 |
∴ So the LCM of the given numbers is 2 x 3 x 19 x 4 x 221 = 100776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100776
Therefore, the GCF of Fractions 339/38,478/24,650/663 is 1/100776
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 38,24,663 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,24,663) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(38,24,663) x common factors =1 x 6 = 6
LCM(38,24,663) = ( 38 × 24 × 663 ) / 6
LCM(38,24,663) = 604656 / 6
LCM(38,24,663) = 100776
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 339/38, 478/24, 650/663?
Answer: GCF of Numerators as per given numbers 339/38, 478/24, 650/663 is
GCF of Numerators i.e. for 339,478,650 is 1
LCM of denominators i.e. for 38,24,663 is 100776.
Thus, GCF of Fractions is 1/100776.Finally, GCF of Fractions for 339/38, 478/24, 650/663 is 1/100776.