Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 507/96,588/17,618/560
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 507,588,618
Greatest Common Factor of Numerators i.e. GCF of 507,588,618 is 3 .
LCM of Denominators means LCM of 96,17,560 as per the given fractions.
LCM of 96,17,560 is 57120 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 507,588,618
3 | 507, 588, 618 |
169, 196, 206 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 507
List of positive integer factors of 507 that divides 507 without a remainder.
1,3,13,39,169,507
Factors of 588
List of positive integer factors of 588 that divides 588 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588
Factors of 618
List of positive integer factors of 618 that divides 618 without a remainder.
1,2,3,6,103,206,309,618
Greatest Common Factor
We found the factors 507,588,618 . The biggest common factor number is the GCF number.
So the greatest common factor 507,588,618 is 3.
Lets's calculate LCM of 96,17,560
2 | 96, 17, 560 |
2 | 48, 17, 280 |
2 | 24, 17, 140 |
2 | 12, 17, 70 |
6, 17, 35 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 6 x 17 x 35 = 57120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/57120
Therefore, the GCF of Fractions 507/96,588/17,618/560 is 3/57120
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 96,17,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,17,560) = 1
common factors(in case of two or more numbers have common factors) = 16
GCF(96,17,560) x common factors =1 x 16 = 16
LCM(96,17,560) = ( 96 × 17 × 560 ) / 16
LCM(96,17,560) = 913920 / 16
LCM(96,17,560) = 57120
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 507/96, 588/17, 618/560?
Answer: GCF of Numerators as per given numbers 507/96, 588/17, 618/560 is
GCF of Numerators i.e. for 507,588,618 is 3
LCM of denominators i.e. for 96,17,560 is 57120.
Thus, GCF of Fractions is 3/57120.Finally, GCF of Fractions for 507/96, 588/17, 618/560 is 3/57120.