Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 572/368,573/328
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 572,573
Greatest Common Factor of Numerators i.e. GCF of 572,573 is 1 .
LCM of Denominators means LCM of 368,328 as per the given fractions.
LCM of 368,328 is 15088 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 572,573
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 572
List of positive integer factors of 572 that divides 572 without a remainder.
1,2,4,11,13,22,26,44,52,143,286,572
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 572,573 . The biggest common factor number is the GCF number.
So the greatest common factor 572,573 is 1.
Lets's calculate LCM of 368,328
2 | 368, 328 |
2 | 184, 164 |
2 | 92, 82 |
46, 41 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 46 x 41 = 15088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15088
Therefore, the GCF of Fractions 572/368,573/328 is 1/15088
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 368,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,328) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(368,328) x common factors =8 x 1 = 8
LCM(368,328) = ( 368 × 328 ) / 8
LCM(368,328) = 120704 / 8
LCM(368,328) = 15088
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 572/368, 573/328?
Answer: GCF of Numerators as per given numbers 572/368, 573/328 is
GCF of Numerators i.e. for 572,573 is 1
LCM of denominators i.e. for 368,328 is 15088.
Thus, GCF of Fractions is 1/15088.Finally, GCF of Fractions for 572/368, 573/328 is 1/15088.