Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8848/692,8075/593
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 8848,8075
Greatest Common Factor of Numerators i.e. GCF of 8848,8075 is 1 .
LCM of Denominators means LCM of 692,593 as per the given fractions.
LCM of 692,593 is 410356 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8848,8075
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8848
List of positive integer factors of 8848 that divides 8848 without a remainder.
1,2,4,7,8,14,16,28,56,79,112,158,316,553,632,1106,1264,2212,4424,8848
Factors of 8075
List of positive integer factors of 8075 that divides 8075 without a remainder.
1,5,17,19,25,85,95,323,425,475,1615,8075
Greatest Common Factor
We found the factors 8848,8075 . The biggest common factor number is the GCF number.
So the greatest common factor 8848,8075 is 1.
Lets's calculate LCM of 692,593
Given numbers has no common factors except 1. So, there LCM is their product i.e 410356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/410356
Therefore, the GCF of Fractions 8848/692,8075/593 is 1/410356
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 692,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(692,593) x common factors =1 x 1 = 1
LCM(692,593) = ( 692 × 593 ) / 1
LCM(692,593) = 410356 / 1
LCM(692,593) = 410356
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 8848/692, 8075/593?
Answer: GCF of Numerators as per given numbers 8848/692, 8075/593 is
GCF of Numerators i.e. for 8848,8075 is 1
LCM of denominators i.e. for 692,593 is 410356.
Thus, GCF of Fractions is 1/410356.Finally, GCF of Fractions for 8848/692, 8075/593 is 1/410356.