Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 335/702,3438/3331
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 335,3438
Greatest Common Factor of Numerators i.e. GCF of 335,3438 is 1 .
LCM of Denominators means LCM of 702,3331 as per the given fractions.
LCM of 702,3331 is 2338362 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 335,3438
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 335
List of positive integer factors of 335 that divides 335 without a remainder.
1,5,67,335
Factors of 3438
List of positive integer factors of 3438 that divides 3438 without a remainder.
1,2,3,6,9,18,191,382,573,1146,1719,3438
Greatest Common Factor
We found the factors 335,3438 . The biggest common factor number is the GCF number.
So the greatest common factor 335,3438 is 1.
Lets's calculate LCM of 702,3331
Given numbers has no common factors except 1. So, there LCM is their product i.e 2338362
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2338362
Therefore, the GCF of Fractions 335/702,3438/3331 is 1/2338362
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 702,3331 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(702,3331) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(702,3331) x common factors =1 x 1 = 1
LCM(702,3331) = ( 702 × 3331 ) / 1
LCM(702,3331) = 2338362 / 1
LCM(702,3331) = 2338362
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 335/702, 3438/3331?
Answer: GCF of Numerators as per given numbers 335/702, 3438/3331 is
GCF of Numerators i.e. for 335,3438 is 1
LCM of denominators i.e. for 702,3331 is 2338362.
Thus, GCF of Fractions is 1/2338362.Finally, GCF of Fractions for 335/702, 3438/3331 is 1/2338362.