Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 376/39,778/8327
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 376,778
Greatest Common Factor of Numerators i.e. GCF of 376,778 is 2 .
LCM of Denominators means LCM of 39,8327 as per the given fractions.
LCM of 39,8327 is 324753 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 376,778
2 | 376, 778 |
188, 389 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 376
List of positive integer factors of 376 that divides 376 without a remainder.
1,2,4,8,47,94,188,376
Factors of 778
List of positive integer factors of 778 that divides 778 without a remainder.
1,2,389,778
Greatest Common Factor
We found the factors 376,778 . The biggest common factor number is the GCF number.
So the greatest common factor 376,778 is 2.
Lets's calculate LCM of 39,8327
Given numbers has no common factors except 1. So, there LCM is their product i.e 324753
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/324753
Therefore, the GCF of Fractions 376/39,778/8327 is 2/324753
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 39,8327 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,8327) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,8327) x common factors =1 x 1 = 1
LCM(39,8327) = ( 39 × 8327 ) / 1
LCM(39,8327) = 324753 / 1
LCM(39,8327) = 324753
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 376/39, 778/8327?
Answer: GCF of Numerators as per given numbers 376/39, 778/8327 is
GCF of Numerators i.e. for 376,778 is 2
LCM of denominators i.e. for 39,8327 is 324753.
Thus, GCF of Fractions is 2/324753.Finally, GCF of Fractions for 376/39, 778/8327 is 2/324753.