Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 695/4819,864/4103
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 695,864
Greatest Common Factor of Numerators i.e. GCF of 695,864 is 1 .
LCM of Denominators means LCM of 4819,4103 as per the given fractions.
LCM of 4819,4103 is 19772357 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 695,864
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 695
List of positive integer factors of 695 that divides 695 without a remainder.
1,5,139,695
Factors of 864
List of positive integer factors of 864 that divides 864 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864
Greatest Common Factor
We found the factors 695,864 . The biggest common factor number is the GCF number.
So the greatest common factor 695,864 is 1.
Lets's calculate LCM of 4819,4103
Given numbers has no common factors except 1. So, there LCM is their product i.e 19772357
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19772357
Therefore, the GCF of Fractions 695/4819,864/4103 is 1/19772357
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 4819,4103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4819,4103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4819,4103) x common factors =1 x 1 = 1
LCM(4819,4103) = ( 4819 × 4103 ) / 1
LCM(4819,4103) = 19772357 / 1
LCM(4819,4103) = 19772357
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 695/4819, 864/4103?
Answer: GCF of Numerators as per given numbers 695/4819, 864/4103 is
GCF of Numerators i.e. for 695,864 is 1
LCM of denominators i.e. for 4819,4103 is 19772357.
Thus, GCF of Fractions is 1/19772357.Finally, GCF of Fractions for 695/4819, 864/4103 is 1/19772357.