Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1527/462,5589/692
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 1527,5589
Greatest Common Factor of Numerators i.e. GCF of 1527,5589 is 3 .
LCM of Denominators means LCM of 462,692 as per the given fractions.
LCM of 462,692 is 159852 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1527,5589
3 | 1527, 5589 |
509, 1863 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 1527
List of positive integer factors of 1527 that divides 1527 without a remainder.
1,3,509,1527
Factors of 5589
List of positive integer factors of 5589 that divides 5589 without a remainder.
1,3,9,23,27,69,81,207,243,621,1863,5589
Greatest Common Factor
We found the factors 1527,5589 . The biggest common factor number is the GCF number.
So the greatest common factor 1527,5589 is 3.
Lets's calculate LCM of 462,692
2 | 462, 692 |
231, 346 |
∴ So the LCM of the given numbers is 2 x 231 x 346 = 159852
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/159852
Therefore, the GCF of Fractions 1527/462,5589/692 is 3/159852
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 462,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(462,692) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(462,692) x common factors =2 x 1 = 2
LCM(462,692) = ( 462 × 692 ) / 2
LCM(462,692) = 319704 / 2
LCM(462,692) = 159852
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 1527/462, 5589/692?
Answer: GCF of Numerators as per given numbers 1527/462, 5589/692 is
GCF of Numerators i.e. for 1527,5589 is 3
LCM of denominators i.e. for 462,692 is 159852.
Thus, GCF of Fractions is 3/159852.Finally, GCF of Fractions for 1527/462, 5589/692 is 3/159852.