Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6791/16,3137/343
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 6791,3137
Greatest Common Factor of Numerators i.e. GCF of 6791,3137 is 1 .
LCM of Denominators means LCM of 16,343 as per the given fractions.
LCM of 16,343 is 5488 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6791,3137
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6791
List of positive integer factors of 6791 that divides 6791 without a remainder.
1,6791
Factors of 3137
List of positive integer factors of 3137 that divides 3137 without a remainder.
1,3137
Greatest Common Factor
We found the factors 6791,3137 . The biggest common factor number is the GCF number.
So the greatest common factor 6791,3137 is 1.
Lets's calculate LCM of 16,343
Given numbers has no common factors except 1. So, there LCM is their product i.e 5488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5488
Therefore, the GCF of Fractions 6791/16,3137/343 is 1/5488
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 16,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,343) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,343) x common factors =1 x 1 = 1
LCM(16,343) = ( 16 × 343 ) / 1
LCM(16,343) = 5488 / 1
LCM(16,343) = 5488
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 6791/16, 3137/343?
Answer: GCF of Numerators as per given numbers 6791/16, 3137/343 is
GCF of Numerators i.e. for 6791,3137 is 1
LCM of denominators i.e. for 16,343 is 5488.
Thus, GCF of Fractions is 1/5488.Finally, GCF of Fractions for 6791/16, 3137/343 is 1/5488.