Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6/14,20/85,12/446,482/398
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 6,20,12,482
Greatest Common Factor of Numerators i.e. GCF of 6,20,12,482 is 2 .
LCM of Denominators means LCM of 14,85,446,398 as per the given fractions.
LCM of 14,85,446,398 is 52808630 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6,20,12,482
2 | 6, 20, 12, 482 |
3, 10, 6, 241 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6
List of positive integer factors of 6 that divides 6 without a remainder.
1,2,3,6
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Greatest Common Factor
We found the factors 6,20,12,482 . The biggest common factor number is the GCF number.
So the greatest common factor 6,20,12,482 is 2.
Lets's calculate LCM of 14,85,446,398
2 | 14, 85, 446, 398 |
7, 85, 223, 199 |
∴ So the LCM of the given numbers is 2 x 7 x 85 x 223 x 199 = 52808630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/52808630
Therefore, the GCF of Fractions 6/14,20/85,12/446,482/398 is 2/52808630
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 14,85,446,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,85,446,398) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(14,85,446,398) x common factors =1 x 4 = 4
LCM(14,85,446,398) = ( 14 × 85 × 446 × 398 ) / 4
LCM(14,85,446,398) = 211234520 / 4
LCM(14,85,446,398) = 52808630
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 6/14, 20/85, 12/446, 482/398?
Answer: GCF of Numerators as per given numbers 6/14, 20/85, 12/446, 482/398 is
GCF of Numerators i.e. for 6,20,12,482 is 2
LCM of denominators i.e. for 14,85,446,398 is 52808630.
Thus, GCF of Fractions is 2/52808630.Finally, GCF of Fractions for 6/14, 20/85, 12/446, 482/398 is 2/52808630.