Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3428/702,6694/4189
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 3428,6694
Greatest Common Factor of Numerators i.e. GCF of 3428,6694 is 2 .
LCM of Denominators means LCM of 702,4189 as per the given fractions.
LCM of 702,4189 is 2940678 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3428,6694
2 | 3428, 6694 |
1714, 3347 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3428
List of positive integer factors of 3428 that divides 3428 without a remainder.
1,2,4,857,1714,3428
Factors of 6694
List of positive integer factors of 6694 that divides 6694 without a remainder.
1,2,3347,6694
Greatest Common Factor
We found the factors 3428,6694 . The biggest common factor number is the GCF number.
So the greatest common factor 3428,6694 is 2.
Lets's calculate LCM of 702,4189
Given numbers has no common factors except 1. So, there LCM is their product i.e 2940678
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2940678
Therefore, the GCF of Fractions 3428/702,6694/4189 is 2/2940678
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 702,4189 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(702,4189) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(702,4189) x common factors =1 x 1 = 1
LCM(702,4189) = ( 702 × 4189 ) / 1
LCM(702,4189) = 2940678 / 1
LCM(702,4189) = 2940678
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 3428/702, 6694/4189?
Answer: GCF of Numerators as per given numbers 3428/702, 6694/4189 is
GCF of Numerators i.e. for 3428,6694 is 2
LCM of denominators i.e. for 702,4189 is 2940678.
Thus, GCF of Fractions is 2/2940678.Finally, GCF of Fractions for 3428/702, 6694/4189 is 2/2940678.