Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 322/17,502/75,168/357
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 322,502,168
Greatest Common Factor of Numerators i.e. GCF of 322,502,168 is 2 .
LCM of Denominators means LCM of 17,75,357 as per the given fractions.
LCM of 17,75,357 is 8925 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 322,502,168
2 | 322, 502, 168 |
161, 251, 84 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 322
List of positive integer factors of 322 that divides 322 without a remainder.
1,2,7,14,23,46,161,322
Factors of 502
List of positive integer factors of 502 that divides 502 without a remainder.
1,2,251,502
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Greatest Common Factor
We found the factors 322,502,168 . The biggest common factor number is the GCF number.
So the greatest common factor 322,502,168 is 2.
Lets's calculate LCM of 17,75,357
3 | 17, 75, 357 |
17 | 17, 25, 119 |
1, 25, 7 |
∴ So the LCM of the given numbers is 3 x 17 x 1 x 25 x 7 = 8925
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8925
Therefore, the GCF of Fractions 322/17,502/75,168/357 is 2/8925
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 17,75,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,75,357) = 1
common factors(in case of two or more numbers have common factors) = 51
GCF(17,75,357) x common factors =1 x 51 = 51
LCM(17,75,357) = ( 17 × 75 × 357 ) / 51
LCM(17,75,357) = 455175 / 51
LCM(17,75,357) = 8925
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 322/17, 502/75, 168/357?
Answer: GCF of Numerators as per given numbers 322/17, 502/75, 168/357 is
GCF of Numerators i.e. for 322,502,168 is 2
LCM of denominators i.e. for 17,75,357 is 8925.
Thus, GCF of Fractions is 2/8925.Finally, GCF of Fractions for 322/17, 502/75, 168/357 is 2/8925.