Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3056/91,3274/704
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 3056,3274
Greatest Common Factor of Numerators i.e. GCF of 3056,3274 is 2 .
LCM of Denominators means LCM of 91,704 as per the given fractions.
LCM of 91,704 is 64064 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3056,3274
2 | 3056, 3274 |
1528, 1637 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3056
List of positive integer factors of 3056 that divides 3056 without a remainder.
1,2,4,8,16,191,382,764,1528,3056
Factors of 3274
List of positive integer factors of 3274 that divides 3274 without a remainder.
1,2,1637,3274
Greatest Common Factor
We found the factors 3056,3274 . The biggest common factor number is the GCF number.
So the greatest common factor 3056,3274 is 2.
Lets's calculate LCM of 91,704
Given numbers has no common factors except 1. So, there LCM is their product i.e 64064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/64064
Therefore, the GCF of Fractions 3056/91,3274/704 is 2/64064
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 91,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,704) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,704) x common factors =1 x 1 = 1
LCM(91,704) = ( 91 × 704 ) / 1
LCM(91,704) = 64064 / 1
LCM(91,704) = 64064
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 3056/91, 3274/704?
Answer: GCF of Numerators as per given numbers 3056/91, 3274/704 is
GCF of Numerators i.e. for 3056,3274 is 2
LCM of denominators i.e. for 91,704 is 64064.
Thus, GCF of Fractions is 2/64064.Finally, GCF of Fractions for 3056/91, 3274/704 is 2/64064.