Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 646/797,1299/188
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 646,1299
Greatest Common Factor of Numerators i.e. GCF of 646,1299 is 1 .
LCM of Denominators means LCM of 797,188 as per the given fractions.
LCM of 797,188 is 149836 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 646,1299
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
Factors of 1299
List of positive integer factors of 1299 that divides 1299 without a remainder.
1,3,433,1299
Greatest Common Factor
We found the factors 646,1299 . The biggest common factor number is the GCF number.
So the greatest common factor 646,1299 is 1.
Lets's calculate LCM of 797,188
Given numbers has no common factors except 1. So, there LCM is their product i.e 149836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/149836
Therefore, the GCF of Fractions 646/797,1299/188 is 1/149836
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 797,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(797,188) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(797,188) x common factors =1 x 1 = 1
LCM(797,188) = ( 797 × 188 ) / 1
LCM(797,188) = 149836 / 1
LCM(797,188) = 149836
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 646/797, 1299/188?
Answer: GCF of Numerators as per given numbers 646/797, 1299/188 is
GCF of Numerators i.e. for 646,1299 is 1
LCM of denominators i.e. for 797,188 is 149836.
Thus, GCF of Fractions is 1/149836.Finally, GCF of Fractions for 646/797, 1299/188 is 1/149836.