Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2515/27,1732/390
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 2515,1732
Greatest Common Factor of Numerators i.e. GCF of 2515,1732 is 1 .
LCM of Denominators means LCM of 27,390 as per the given fractions.
LCM of 27,390 is 3510 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2515,1732
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2515
List of positive integer factors of 2515 that divides 2515 without a remainder.
1,5,503,2515
Factors of 1732
List of positive integer factors of 1732 that divides 1732 without a remainder.
1,2,4,433,866,1732
Greatest Common Factor
We found the factors 2515,1732 . The biggest common factor number is the GCF number.
So the greatest common factor 2515,1732 is 1.
Lets's calculate LCM of 27,390
3 | 27, 390 |
9, 130 |
∴ So the LCM of the given numbers is 3 x 9 x 130 = 3510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3510
Therefore, the GCF of Fractions 2515/27,1732/390 is 1/3510
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 27,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,390) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(27,390) x common factors =3 x 1 = 3
LCM(27,390) = ( 27 × 390 ) / 3
LCM(27,390) = 10530 / 3
LCM(27,390) = 3510
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 2515/27, 1732/390?
Answer: GCF of Numerators as per given numbers 2515/27, 1732/390 is
GCF of Numerators i.e. for 2515,1732 is 1
LCM of denominators i.e. for 27,390 is 3510.
Thus, GCF of Fractions is 1/3510.Finally, GCF of Fractions for 2515/27, 1732/390 is 1/3510.