Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 825/41,712/17,809/953
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 825,712,809
Greatest Common Factor of Numerators i.e. GCF of 825,712,809 is 1 .
LCM of Denominators means LCM of 41,17,953 as per the given fractions.
LCM of 41,17,953 is 664241 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 825,712,809
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 825
List of positive integer factors of 825 that divides 825 without a remainder.
1,3,5,11,15,25,33,55,75,165,275,825
Factors of 712
List of positive integer factors of 712 that divides 712 without a remainder.
1,2,4,8,89,178,356,712
Factors of 809
List of positive integer factors of 809 that divides 809 without a remainder.
1,809
Greatest Common Factor
We found the factors 825,712,809 . The biggest common factor number is the GCF number.
So the greatest common factor 825,712,809 is 1.
Lets's calculate LCM of 41,17,953
Given numbers has no common factors except 1. So, there LCM is their product i.e 664241
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/664241
Therefore, the GCF of Fractions 825/41,712/17,809/953 is 1/664241
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 41,17,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,17,953) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,17,953) x common factors =1 x 1 = 1
LCM(41,17,953) = ( 41 × 17 × 953 ) / 1
LCM(41,17,953) = 664241 / 1
LCM(41,17,953) = 664241
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 825/41, 712/17, 809/953?
Answer: GCF of Numerators as per given numbers 825/41, 712/17, 809/953 is
GCF of Numerators i.e. for 825,712,809 is 1
LCM of denominators i.e. for 41,17,953 is 664241.
Thus, GCF of Fractions is 1/664241.Finally, GCF of Fractions for 825/41, 712/17, 809/953 is 1/664241.