Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6226/829,3213/458
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 6226,3213
Greatest Common Factor of Numerators i.e. GCF of 6226,3213 is 1 .
LCM of Denominators means LCM of 829,458 as per the given fractions.
LCM of 829,458 is 379682 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6226,3213
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6226
List of positive integer factors of 6226 that divides 6226 without a remainder.
1,2,11,22,283,566,3113,6226
Factors of 3213
List of positive integer factors of 3213 that divides 3213 without a remainder.
1,3,7,9,17,21,27,51,63,119,153,189,357,459,1071,3213
Greatest Common Factor
We found the factors 6226,3213 . The biggest common factor number is the GCF number.
So the greatest common factor 6226,3213 is 1.
Lets's calculate LCM of 829,458
Given numbers has no common factors except 1. So, there LCM is their product i.e 379682
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/379682
Therefore, the GCF of Fractions 6226/829,3213/458 is 1/379682
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 829,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(829,458) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(829,458) x common factors =1 x 1 = 1
LCM(829,458) = ( 829 × 458 ) / 1
LCM(829,458) = 379682 / 1
LCM(829,458) = 379682
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 6226/829, 3213/458?
Answer: GCF of Numerators as per given numbers 6226/829, 3213/458 is
GCF of Numerators i.e. for 6226,3213 is 1
LCM of denominators i.e. for 829,458 is 379682.
Thus, GCF of Fractions is 1/379682.Finally, GCF of Fractions for 6226/829, 3213/458 is 1/379682.