Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5688/53,3099/524
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 5688,3099
Greatest Common Factor of Numerators i.e. GCF of 5688,3099 is 3 .
LCM of Denominators means LCM of 53,524 as per the given fractions.
LCM of 53,524 is 27772 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5688,3099
3 | 5688, 3099 |
1896, 1033 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 5688
List of positive integer factors of 5688 that divides 5688 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72,79,158,237,316,474,632,711,948,1422,1896,2844,5688
Factors of 3099
List of positive integer factors of 3099 that divides 3099 without a remainder.
1,3,1033,3099
Greatest Common Factor
We found the factors 5688,3099 . The biggest common factor number is the GCF number.
So the greatest common factor 5688,3099 is 3.
Lets's calculate LCM of 53,524
Given numbers has no common factors except 1. So, there LCM is their product i.e 27772
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/27772
Therefore, the GCF of Fractions 5688/53,3099/524 is 3/27772
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 53,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,524) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,524) x common factors =1 x 1 = 1
LCM(53,524) = ( 53 × 524 ) / 1
LCM(53,524) = 27772 / 1
LCM(53,524) = 27772
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 5688/53, 3099/524?
Answer: GCF of Numerators as per given numbers 5688/53, 3099/524 is
GCF of Numerators i.e. for 5688,3099 is 3
LCM of denominators i.e. for 53,524 is 27772.
Thus, GCF of Fractions is 3/27772.Finally, GCF of Fractions for 5688/53, 3099/524 is 3/27772.