Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3299/985,6348/9411
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 3299,6348
Greatest Common Factor of Numerators i.e. GCF of 3299,6348 is 1 .
LCM of Denominators means LCM of 985,9411 as per the given fractions.
LCM of 985,9411 is 9269835 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3299,6348
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3299
List of positive integer factors of 3299 that divides 3299 without a remainder.
1,3299
Factors of 6348
List of positive integer factors of 6348 that divides 6348 without a remainder.
1,2,3,4,6,12,23,46,69,92,138,276,529,1058,1587,2116,3174,6348
Greatest Common Factor
We found the factors 3299,6348 . The biggest common factor number is the GCF number.
So the greatest common factor 3299,6348 is 1.
Lets's calculate LCM of 985,9411
Given numbers has no common factors except 1. So, there LCM is their product i.e 9269835
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9269835
Therefore, the GCF of Fractions 3299/985,6348/9411 is 1/9269835
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 985,9411 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(985,9411) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(985,9411) x common factors =1 x 1 = 1
LCM(985,9411) = ( 985 × 9411 ) / 1
LCM(985,9411) = 9269835 / 1
LCM(985,9411) = 9269835
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 3299/985, 6348/9411?
Answer: GCF of Numerators as per given numbers 3299/985, 6348/9411 is
GCF of Numerators i.e. for 3299,6348 is 1
LCM of denominators i.e. for 985,9411 is 9269835.
Thus, GCF of Fractions is 1/9269835.Finally, GCF of Fractions for 3299/985, 6348/9411 is 1/9269835.