Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6244/628,3069/9339
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 6244,3069
Greatest Common Factor of Numerators i.e. GCF of 6244,3069 is 1 .
LCM of Denominators means LCM of 628,9339 as per the given fractions.
LCM of 628,9339 is 5864892 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6244,3069
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6244
List of positive integer factors of 6244 that divides 6244 without a remainder.
1,2,4,7,14,28,223,446,892,1561,3122,6244
Factors of 3069
List of positive integer factors of 3069 that divides 3069 without a remainder.
1,3,9,11,31,33,93,99,279,341,1023,3069
Greatest Common Factor
We found the factors 6244,3069 . The biggest common factor number is the GCF number.
So the greatest common factor 6244,3069 is 1.
Lets's calculate LCM of 628,9339
Given numbers has no common factors except 1. So, there LCM is their product i.e 5864892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5864892
Therefore, the GCF of Fractions 6244/628,3069/9339 is 1/5864892
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 628,9339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(628,9339) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(628,9339) x common factors =1 x 1 = 1
LCM(628,9339) = ( 628 × 9339 ) / 1
LCM(628,9339) = 5864892 / 1
LCM(628,9339) = 5864892
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 6244/628, 3069/9339?
Answer: GCF of Numerators as per given numbers 6244/628, 3069/9339 is
GCF of Numerators i.e. for 6244,3069 is 1
LCM of denominators i.e. for 628,9339 is 5864892.
Thus, GCF of Fractions is 1/5864892.Finally, GCF of Fractions for 6244/628, 3069/9339 is 1/5864892.