Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 299/935,6263/614
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 299,6263
Greatest Common Factor of Numerators i.e. GCF of 299,6263 is 1 .
LCM of Denominators means LCM of 935,614 as per the given fractions.
LCM of 935,614 is 574090 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 299,6263
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 299
List of positive integer factors of 299 that divides 299 without a remainder.
1,13,23,299
Factors of 6263
List of positive integer factors of 6263 that divides 6263 without a remainder.
1,6263
Greatest Common Factor
We found the factors 299,6263 . The biggest common factor number is the GCF number.
So the greatest common factor 299,6263 is 1.
Lets's calculate LCM of 935,614
Given numbers has no common factors except 1. So, there LCM is their product i.e 574090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/574090
Therefore, the GCF of Fractions 299/935,6263/614 is 1/574090
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 935,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(935,614) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(935,614) x common factors =1 x 1 = 1
LCM(935,614) = ( 935 × 614 ) / 1
LCM(935,614) = 574090 / 1
LCM(935,614) = 574090
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 299/935, 6263/614?
Answer: GCF of Numerators as per given numbers 299/935, 6263/614 is
GCF of Numerators i.e. for 299,6263 is 1
LCM of denominators i.e. for 935,614 is 574090.
Thus, GCF of Fractions is 1/574090.Finally, GCF of Fractions for 299/935, 6263/614 is 1/574090.