Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 505/78,497/36,158/396
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 505,497,158
Greatest Common Factor of Numerators i.e. GCF of 505,497,158 is 1 .
LCM of Denominators means LCM of 78,36,396 as per the given fractions.
LCM of 78,36,396 is 5148 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 505,497,158
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 505
List of positive integer factors of 505 that divides 505 without a remainder.
1,5,101,505
Factors of 497
List of positive integer factors of 497 that divides 497 without a remainder.
1,7,71,497
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Greatest Common Factor
We found the factors 505,497,158 . The biggest common factor number is the GCF number.
So the greatest common factor 505,497,158 is 1.
Lets's calculate LCM of 78,36,396
2 | 78, 36, 396 |
2 | 39, 18, 198 |
3 | 39, 9, 99 |
3 | 13, 3, 33 |
13, 1, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 13 x 1 x 11 = 5148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5148
Therefore, the GCF of Fractions 505/78,497/36,158/396 is 1/5148
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 78,36,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,36,396) = 6
common factors(in case of two or more numbers have common factors) = 36
GCF(78,36,396) x common factors =6 x 36 = 216
LCM(78,36,396) = ( 78 × 36 × 396 ) / 216
LCM(78,36,396) = 1111968 / 216
LCM(78,36,396) = 5148
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 505/78, 497/36, 158/396?
Answer: GCF of Numerators as per given numbers 505/78, 497/36, 158/396 is
GCF of Numerators i.e. for 505,497,158 is 1
LCM of denominators i.e. for 78,36,396 is 5148.
Thus, GCF of Fractions is 1/5148.Finally, GCF of Fractions for 505/78, 497/36, 158/396 is 1/5148.