Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 394/85,894/2329
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 394,894
Greatest Common Factor of Numerators i.e. GCF of 394,894 is 2 .
LCM of Denominators means LCM of 85,2329 as per the given fractions.
LCM of 85,2329 is 11645 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 394,894
2 | 394, 894 |
197, 447 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 394
List of positive integer factors of 394 that divides 394 without a remainder.
1,2,197,394
Factors of 894
List of positive integer factors of 894 that divides 894 without a remainder.
1,2,3,6,149,298,447,894
Greatest Common Factor
We found the factors 394,894 . The biggest common factor number is the GCF number.
So the greatest common factor 394,894 is 2.
Lets's calculate LCM of 85,2329
17 | 85, 2329 |
5, 137 |
∴ So the LCM of the given numbers is 17 x 5 x 137 = 11645
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11645
Therefore, the GCF of Fractions 394/85,894/2329 is 2/11645
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 85,2329 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,2329) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(85,2329) x common factors =17 x 1 = 17
LCM(85,2329) = ( 85 × 2329 ) / 17
LCM(85,2329) = 197965 / 17
LCM(85,2329) = 11645
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 394/85, 894/2329?
Answer: GCF of Numerators as per given numbers 394/85, 894/2329 is
GCF of Numerators i.e. for 394,894 is 2
LCM of denominators i.e. for 85,2329 is 11645.
Thus, GCF of Fractions is 2/11645.Finally, GCF of Fractions for 394/85, 894/2329 is 2/11645.