Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 36/528,5532/1545
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 36,5532
Greatest Common Factor of Numerators i.e. GCF of 36,5532 is 12 .
LCM of Denominators means LCM of 528,1545 as per the given fractions.
LCM of 528,1545 is 271920 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 36,5532
2 | 36, 5532 |
2 | 18, 2766 |
3 | 9, 1383 |
3, 461 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 5532
List of positive integer factors of 5532 that divides 5532 without a remainder.
1,2,3,4,6,12,461,922,1383,1844,2766,5532
Greatest Common Factor
We found the factors 36,5532 . The biggest common factor number is the GCF number.
So the greatest common factor 36,5532 is 12.
Lets's calculate LCM of 528,1545
3 | 528, 1545 |
176, 515 |
∴ So the LCM of the given numbers is 3 x 176 x 515 = 271920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/271920
Therefore, the GCF of Fractions 36/528,5532/1545 is 12/271920
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 528,1545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(528,1545) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(528,1545) x common factors =3 x 1 = 3
LCM(528,1545) = ( 528 × 1545 ) / 3
LCM(528,1545) = 815760 / 3
LCM(528,1545) = 271920
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 36/528, 5532/1545?
Answer: GCF of Numerators as per given numbers 36/528, 5532/1545 is
GCF of Numerators i.e. for 36,5532 is 12
LCM of denominators i.e. for 528,1545 is 271920.
Thus, GCF of Fractions is 12/271920.Finally, GCF of Fractions for 36/528, 5532/1545 is 12/271920.