Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 529/214,6057/508
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 529,6057
Greatest Common Factor of Numerators i.e. GCF of 529,6057 is 1 .
LCM of Denominators means LCM of 214,508 as per the given fractions.
LCM of 214,508 is 54356 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 529,6057
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 529
List of positive integer factors of 529 that divides 529 without a remainder.
1,23,529
Factors of 6057
List of positive integer factors of 6057 that divides 6057 without a remainder.
1,3,9,673,2019,6057
Greatest Common Factor
We found the factors 529,6057 . The biggest common factor number is the GCF number.
So the greatest common factor 529,6057 is 1.
Lets's calculate LCM of 214,508
2 | 214, 508 |
107, 254 |
∴ So the LCM of the given numbers is 2 x 107 x 254 = 54356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54356
Therefore, the GCF of Fractions 529/214,6057/508 is 1/54356
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 214,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,508) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(214,508) x common factors =2 x 1 = 2
LCM(214,508) = ( 214 × 508 ) / 2
LCM(214,508) = 108712 / 2
LCM(214,508) = 54356
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 529/214, 6057/508?
Answer: GCF of Numerators as per given numbers 529/214, 6057/508 is
GCF of Numerators i.e. for 529,6057 is 1
LCM of denominators i.e. for 214,508 is 54356.
Thus, GCF of Fractions is 1/54356.Finally, GCF of Fractions for 529/214, 6057/508 is 1/54356.