Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 503/42,168/3224
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 503,168
Greatest Common Factor of Numerators i.e. GCF of 503,168 is 1 .
LCM of Denominators means LCM of 42,3224 as per the given fractions.
LCM of 42,3224 is 67704 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 503,168
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 503
List of positive integer factors of 503 that divides 503 without a remainder.
1,503
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 503,168 . The biggest common factor number is the GCF number.
So the greatest common factor 503,168 is 1.
Lets's calculate LCM of 42,3224
2 | 42, 3224 |
21, 1612 |
∴ So the LCM of the given numbers is 2 x 21 x 1612 = 67704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67704
Therefore, the GCF of Fractions 503/42,168/3224 is 1/67704
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 42,3224 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,3224) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(42,3224) x common factors =2 x 1 = 2
LCM(42,3224) = ( 42 × 3224 ) / 2
LCM(42,3224) = 135408 / 2
LCM(42,3224) = 67704
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 503/42, 168/3224?
Answer: GCF of Numerators as per given numbers 503/42, 168/3224 is
GCF of Numerators i.e. for 503,168 is 1
LCM of denominators i.e. for 42,3224 is 67704.
Thus, GCF of Fractions is 1/67704.Finally, GCF of Fractions for 503/42, 168/3224 is 1/67704.