Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 216/845,1642/507
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 216,1642
Greatest Common Factor of Numerators i.e. GCF of 216,1642 is 2 .
LCM of Denominators means LCM of 845,507 as per the given fractions.
LCM of 845,507 is 2535 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 216,1642
2 | 216, 1642 |
108, 821 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 216
List of positive integer factors of 216 that divides 216 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Factors of 1642
List of positive integer factors of 1642 that divides 1642 without a remainder.
1,2,821,1642
Greatest Common Factor
We found the factors 216,1642 . The biggest common factor number is the GCF number.
So the greatest common factor 216,1642 is 2.
Lets's calculate LCM of 845,507
13 | 845, 507 |
13 | 65, 39 |
5, 3 |
∴ So the LCM of the given numbers is 13 x 13 x 5 x 3 = 2535
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2535
Therefore, the GCF of Fractions 216/845,1642/507 is 2/2535
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 845,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(845,507) = 169
common factors(in case of two or more numbers have common factors) = 1
GCF(845,507) x common factors =169 x 1 = 169
LCM(845,507) = ( 845 × 507 ) / 169
LCM(845,507) = 428415 / 169
LCM(845,507) = 2535
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 216/845, 1642/507?
Answer: GCF of Numerators as per given numbers 216/845, 1642/507 is
GCF of Numerators i.e. for 216,1642 is 2
LCM of denominators i.e. for 845,507 is 2535.
Thus, GCF of Fractions is 2/2535.Finally, GCF of Fractions for 216/845, 1642/507 is 2/2535.