Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 64/606,5534/8897
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 64,5534
Greatest Common Factor of Numerators i.e. GCF of 64,5534 is 2 .
LCM of Denominators means LCM of 606,8897 as per the given fractions.
LCM of 606,8897 is 5391582 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 64,5534
2 | 64, 5534 |
32, 2767 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 5534
List of positive integer factors of 5534 that divides 5534 without a remainder.
1,2,2767,5534
Greatest Common Factor
We found the factors 64,5534 . The biggest common factor number is the GCF number.
So the greatest common factor 64,5534 is 2.
Lets's calculate LCM of 606,8897
Given numbers has no common factors except 1. So, there LCM is their product i.e 5391582
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5391582
Therefore, the GCF of Fractions 64/606,5534/8897 is 2/5391582
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 606,8897 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(606,8897) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(606,8897) x common factors =1 x 1 = 1
LCM(606,8897) = ( 606 × 8897 ) / 1
LCM(606,8897) = 5391582 / 1
LCM(606,8897) = 5391582
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 64/606, 5534/8897?
Answer: GCF of Numerators as per given numbers 64/606, 5534/8897 is
GCF of Numerators i.e. for 64,5534 is 2
LCM of denominators i.e. for 606,8897 is 5391582.
Thus, GCF of Fractions is 2/5391582.Finally, GCF of Fractions for 64/606, 5534/8897 is 2/5391582.