Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 899/943,9079/696
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 899,9079
Greatest Common Factor of Numerators i.e. GCF of 899,9079 is 1 .
LCM of Denominators means LCM of 943,696 as per the given fractions.
LCM of 943,696 is 656328 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 899,9079
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 899
List of positive integer factors of 899 that divides 899 without a remainder.
1,29,31,899
Factors of 9079
List of positive integer factors of 9079 that divides 9079 without a remainder.
1,7,1297,9079
Greatest Common Factor
We found the factors 899,9079 . The biggest common factor number is the GCF number.
So the greatest common factor 899,9079 is 1.
Lets's calculate LCM of 943,696
Given numbers has no common factors except 1. So, there LCM is their product i.e 656328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/656328
Therefore, the GCF of Fractions 899/943,9079/696 is 1/656328
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 943,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(943,696) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(943,696) x common factors =1 x 1 = 1
LCM(943,696) = ( 943 × 696 ) / 1
LCM(943,696) = 656328 / 1
LCM(943,696) = 656328
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 899/943, 9079/696?
Answer: GCF of Numerators as per given numbers 899/943, 9079/696 is
GCF of Numerators i.e. for 899,9079 is 1
LCM of denominators i.e. for 943,696 is 656328.
Thus, GCF of Fractions is 1/656328.Finally, GCF of Fractions for 899/943, 9079/696 is 1/656328.