Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4075/677,8407/336
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 4075,8407
Greatest Common Factor of Numerators i.e. GCF of 4075,8407 is 1 .
LCM of Denominators means LCM of 677,336 as per the given fractions.
LCM of 677,336 is 227472 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4075,8407
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4075
List of positive integer factors of 4075 that divides 4075 without a remainder.
1,5,25,163,815,4075
Factors of 8407
List of positive integer factors of 8407 that divides 8407 without a remainder.
1,7,1201,8407
Greatest Common Factor
We found the factors 4075,8407 . The biggest common factor number is the GCF number.
So the greatest common factor 4075,8407 is 1.
Lets's calculate LCM of 677,336
Given numbers has no common factors except 1. So, there LCM is their product i.e 227472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/227472
Therefore, the GCF of Fractions 4075/677,8407/336 is 1/227472
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 677,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,336) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(677,336) x common factors =1 x 1 = 1
LCM(677,336) = ( 677 × 336 ) / 1
LCM(677,336) = 227472 / 1
LCM(677,336) = 227472
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 4075/677, 8407/336?
Answer: GCF of Numerators as per given numbers 4075/677, 8407/336 is
GCF of Numerators i.e. for 4075,8407 is 1
LCM of denominators i.e. for 677,336 is 227472.
Thus, GCF of Fractions is 1/227472.Finally, GCF of Fractions for 4075/677, 8407/336 is 1/227472.