Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 53/20,798/42,573/418
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 53,798,573
Greatest Common Factor of Numerators i.e. GCF of 53,798,573 is 1 .
LCM of Denominators means LCM of 20,42,418 as per the given fractions.
LCM of 20,42,418 is 87780 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 53,798,573
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 798
List of positive integer factors of 798 that divides 798 without a remainder.
1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Factors of 573
List of positive integer factors of 573 that divides 573 without a remainder.
1,3,191,573
Greatest Common Factor
We found the factors 53,798,573 . The biggest common factor number is the GCF number.
So the greatest common factor 53,798,573 is 1.
Lets's calculate LCM of 20,42,418
2 | 20, 42, 418 |
10, 21, 209 |
∴ So the LCM of the given numbers is 2 x 10 x 21 x 209 = 87780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87780
Therefore, the GCF of Fractions 53/20,798/42,573/418 is 1/87780
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 20,42,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,42,418) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(20,42,418) x common factors =2 x 2 = 4
LCM(20,42,418) = ( 20 × 42 × 418 ) / 4
LCM(20,42,418) = 351120 / 4
LCM(20,42,418) = 87780
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 53/20, 798/42, 573/418?
Answer: GCF of Numerators as per given numbers 53/20, 798/42, 573/418 is
GCF of Numerators i.e. for 53,798,573 is 1
LCM of denominators i.e. for 20,42,418 is 87780.
Thus, GCF of Fractions is 1/87780.Finally, GCF of Fractions for 53/20, 798/42, 573/418 is 1/87780.