Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8696/469,5793/898
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 8696,5793
Greatest Common Factor of Numerators i.e. GCF of 8696,5793 is 1 .
LCM of Denominators means LCM of 469,898 as per the given fractions.
LCM of 469,898 is 421162 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8696,5793
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8696
List of positive integer factors of 8696 that divides 8696 without a remainder.
1,2,4,8,1087,2174,4348,8696
Factors of 5793
List of positive integer factors of 5793 that divides 5793 without a remainder.
1,3,1931,5793
Greatest Common Factor
We found the factors 8696,5793 . The biggest common factor number is the GCF number.
So the greatest common factor 8696,5793 is 1.
Lets's calculate LCM of 469,898
Given numbers has no common factors except 1. So, there LCM is their product i.e 421162
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/421162
Therefore, the GCF of Fractions 8696/469,5793/898 is 1/421162
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 469,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,898) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(469,898) x common factors =1 x 1 = 1
LCM(469,898) = ( 469 × 898 ) / 1
LCM(469,898) = 421162 / 1
LCM(469,898) = 421162
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 8696/469, 5793/898?
Answer: GCF of Numerators as per given numbers 8696/469, 5793/898 is
GCF of Numerators i.e. for 8696,5793 is 1
LCM of denominators i.e. for 469,898 is 421162.
Thus, GCF of Fractions is 1/421162.Finally, GCF of Fractions for 8696/469, 5793/898 is 1/421162.