Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 201/520,873/536,569/233
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 201,873,569
Greatest Common Factor of Numerators i.e. GCF of 201,873,569 is 1 .
LCM of Denominators means LCM of 520,536,233 as per the given fractions.
LCM of 520,536,233 is 8117720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 201,873,569
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 201
List of positive integer factors of 201 that divides 201 without a remainder.
1,3,67,201
Factors of 873
List of positive integer factors of 873 that divides 873 without a remainder.
1,3,9,97,291,873
Factors of 569
List of positive integer factors of 569 that divides 569 without a remainder.
1,569
Greatest Common Factor
We found the factors 201,873,569 . The biggest common factor number is the GCF number.
So the greatest common factor 201,873,569 is 1.
Lets's calculate LCM of 520,536,233
2 | 520, 536, 233 |
2 | 260, 268, 233 |
2 | 130, 134, 233 |
65, 67, 233 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 65 x 67 x 233 = 8117720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8117720
Therefore, the GCF of Fractions 201/520,873/536,569/233 is 1/8117720
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 520,536,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(520,536,233) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(520,536,233) x common factors =1 x 8 = 8
LCM(520,536,233) = ( 520 × 536 × 233 ) / 8
LCM(520,536,233) = 64941760 / 8
LCM(520,536,233) = 8117720
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 201/520, 873/536, 569/233?
Answer: GCF of Numerators as per given numbers 201/520, 873/536, 569/233 is
GCF of Numerators i.e. for 201,873,569 is 1
LCM of denominators i.e. for 520,536,233 is 8117720.
Thus, GCF of Fractions is 1/8117720.Finally, GCF of Fractions for 201/520, 873/536, 569/233 is 1/8117720.