Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 568/49,968/8125
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 568,968
Greatest Common Factor of Numerators i.e. GCF of 568,968 is 8 .
LCM of Denominators means LCM of 49,8125 as per the given fractions.
LCM of 49,8125 is 398125 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 568,968
2 | 568, 968 |
2 | 284, 484 |
2 | 142, 242 |
71, 121 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 568
List of positive integer factors of 568 that divides 568 without a remainder.
1,2,4,8,71,142,284,568
Factors of 968
List of positive integer factors of 968 that divides 968 without a remainder.
1,2,4,8,11,22,44,88,121,242,484,968
Greatest Common Factor
We found the factors 568,968 . The biggest common factor number is the GCF number.
So the greatest common factor 568,968 is 8.
Lets's calculate LCM of 49,8125
Given numbers has no common factors except 1. So, there LCM is their product i.e 398125
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/398125
Therefore, the GCF of Fractions 568/49,968/8125 is 8/398125
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 49,8125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,8125) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,8125) x common factors =1 x 1 = 1
LCM(49,8125) = ( 49 × 8125 ) / 1
LCM(49,8125) = 398125 / 1
LCM(49,8125) = 398125
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 568/49, 968/8125?
Answer: GCF of Numerators as per given numbers 568/49, 968/8125 is
GCF of Numerators i.e. for 568,968 is 8
LCM of denominators i.e. for 49,8125 is 398125.
Thus, GCF of Fractions is 8/398125.Finally, GCF of Fractions for 568/49, 968/8125 is 8/398125.