Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 638/863,197/679
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 638,197
Greatest Common Factor of Numerators i.e. GCF of 638,197 is 1 .
LCM of Denominators means LCM of 863,679 as per the given fractions.
LCM of 863,679 is 585977 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 638,197
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1,2,11,22,29,58,319,638
Factors of 197
List of positive integer factors of 197 that divides 197 without a remainder.
1,197
Greatest Common Factor
We found the factors 638,197 . The biggest common factor number is the GCF number.
So the greatest common factor 638,197 is 1.
Lets's calculate LCM of 863,679
Given numbers has no common factors except 1. So, there LCM is their product i.e 585977
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/585977
Therefore, the GCF of Fractions 638/863,197/679 is 1/585977
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 863,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(863,679) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(863,679) x common factors =1 x 1 = 1
LCM(863,679) = ( 863 × 679 ) / 1
LCM(863,679) = 585977 / 1
LCM(863,679) = 585977
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 638/863, 197/679?
Answer: GCF of Numerators as per given numbers 638/863, 197/679 is
GCF of Numerators i.e. for 638,197 is 1
LCM of denominators i.e. for 863,679 is 585977.
Thus, GCF of Fractions is 1/585977.Finally, GCF of Fractions for 638/863, 197/679 is 1/585977.