Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3959/34,8932/614
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 3959,8932
Greatest Common Factor of Numerators i.e. GCF of 3959,8932 is 1 .
LCM of Denominators means LCM of 34,614 as per the given fractions.
LCM of 34,614 is 10438 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3959,8932
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3959
List of positive integer factors of 3959 that divides 3959 without a remainder.
1,37,107,3959
Factors of 8932
List of positive integer factors of 8932 that divides 8932 without a remainder.
1,2,4,7,11,14,22,28,29,44,58,77,116,154,203,308,319,406,638,812,1276,2233,4466,8932
Greatest Common Factor
We found the factors 3959,8932 . The biggest common factor number is the GCF number.
So the greatest common factor 3959,8932 is 1.
Lets's calculate LCM of 34,614
2 | 34, 614 |
17, 307 |
∴ So the LCM of the given numbers is 2 x 17 x 307 = 10438
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10438
Therefore, the GCF of Fractions 3959/34,8932/614 is 1/10438
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 34,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,614) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(34,614) x common factors =2 x 1 = 2
LCM(34,614) = ( 34 × 614 ) / 2
LCM(34,614) = 20876 / 2
LCM(34,614) = 10438
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 3959/34, 8932/614?
Answer: GCF of Numerators as per given numbers 3959/34, 8932/614 is
GCF of Numerators i.e. for 3959,8932 is 1
LCM of denominators i.e. for 34,614 is 10438.
Thus, GCF of Fractions is 1/10438.Finally, GCF of Fractions for 3959/34, 8932/614 is 1/10438.