Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 662/23,3187/691
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 662,3187
Greatest Common Factor of Numerators i.e. GCF of 662,3187 is 1 .
LCM of Denominators means LCM of 23,691 as per the given fractions.
LCM of 23,691 is 15893 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 662,3187
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 662
List of positive integer factors of 662 that divides 662 without a remainder.
1,2,331,662
Factors of 3187
List of positive integer factors of 3187 that divides 3187 without a remainder.
1,3187
Greatest Common Factor
We found the factors 662,3187 . The biggest common factor number is the GCF number.
So the greatest common factor 662,3187 is 1.
Lets's calculate LCM of 23,691
Given numbers has no common factors except 1. So, there LCM is their product i.e 15893
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15893
Therefore, the GCF of Fractions 662/23,3187/691 is 1/15893
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 23,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,691) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,691) x common factors =1 x 1 = 1
LCM(23,691) = ( 23 × 691 ) / 1
LCM(23,691) = 15893 / 1
LCM(23,691) = 15893
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 662/23, 3187/691?
Answer: GCF of Numerators as per given numbers 662/23, 3187/691 is
GCF of Numerators i.e. for 662,3187 is 1
LCM of denominators i.e. for 23,691 is 15893.
Thus, GCF of Fractions is 1/15893.Finally, GCF of Fractions for 662/23, 3187/691 is 1/15893.