Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9556/925,2005/933
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 9556,2005
Greatest Common Factor of Numerators i.e. GCF of 9556,2005 is 1 .
LCM of Denominators means LCM of 925,933 as per the given fractions.
LCM of 925,933 is 863025 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9556,2005
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9556
List of positive integer factors of 9556 that divides 9556 without a remainder.
1,2,4,2389,4778,9556
Factors of 2005
List of positive integer factors of 2005 that divides 2005 without a remainder.
1,5,401,2005
Greatest Common Factor
We found the factors 9556,2005 . The biggest common factor number is the GCF number.
So the greatest common factor 9556,2005 is 1.
Lets's calculate LCM of 925,933
Given numbers has no common factors except 1. So, there LCM is their product i.e 863025
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/863025
Therefore, the GCF of Fractions 9556/925,2005/933 is 1/863025
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 925,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(925,933) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(925,933) x common factors =1 x 1 = 1
LCM(925,933) = ( 925 × 933 ) / 1
LCM(925,933) = 863025 / 1
LCM(925,933) = 863025
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 9556/925, 2005/933?
Answer: GCF of Numerators as per given numbers 9556/925, 2005/933 is
GCF of Numerators i.e. for 9556,2005 is 1
LCM of denominators i.e. for 925,933 is 863025.
Thus, GCF of Fractions is 1/863025.Finally, GCF of Fractions for 9556/925, 2005/933 is 1/863025.