Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 568/97,530/11,122/652
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 568,530,122
Greatest Common Factor of Numerators i.e. GCF of 568,530,122 is 2 .
LCM of Denominators means LCM of 97,11,652 as per the given fractions.
LCM of 97,11,652 is 695684 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 568,530,122
2 | 568, 530, 122 |
284, 265, 61 |
∴ So the GCF of the given numbers is 2 = 2
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 530
List of positive integer factors of 530 that divides 530 without a remainder.
1,2,5,10,53,106,265,530
Factors of 122
List of positive integer factors of 122 that divides 122 without a remainder.
1,2,61,122
Greatest Common Factor
We found the factors 568,530,122 . The biggest common factor number is the GCF number.
So the greatest common factor 568,530,122 is 2.
Lets's calculate LCM of 97,11,652
Given numbers has no common factors except 1. So, there LCM is their product i.e 695684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/695684
Therefore, the GCF of Fractions 568/97,530/11,122/652 is 2/695684
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 97,11,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,11,652) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,11,652) x common factors =1 x 1 = 1
LCM(97,11,652) = ( 97 × 11 × 652 ) / 1
LCM(97,11,652) = 695684 / 1
LCM(97,11,652) = 695684
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 568/97, 530/11, 122/652?
Answer: GCF of Numerators as per given numbers 568/97, 530/11, 122/652 is
GCF of Numerators i.e. for 568,530,122 is 2
LCM of denominators i.e. for 97,11,652 is 695684.
Thus, GCF of Fractions is 2/695684.Finally, GCF of Fractions for 568/97, 530/11, 122/652 is 2/695684.