Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8801/186,8722/3487
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 8801,8722
Greatest Common Factor of Numerators i.e. GCF of 8801,8722 is 1 .
LCM of Denominators means LCM of 186,3487 as per the given fractions.
LCM of 186,3487 is 648582 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8801,8722
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8801
List of positive integer factors of 8801 that divides 8801 without a remainder.
1,13,677,8801
Factors of 8722
List of positive integer factors of 8722 that divides 8722 without a remainder.
1,2,7,14,49,89,98,178,623,1246,4361,8722
Greatest Common Factor
We found the factors 8801,8722 . The biggest common factor number is the GCF number.
So the greatest common factor 8801,8722 is 1.
Lets's calculate LCM of 186,3487
Given numbers has no common factors except 1. So, there LCM is their product i.e 648582
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/648582
Therefore, the GCF of Fractions 8801/186,8722/3487 is 1/648582
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 186,3487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(186,3487) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(186,3487) x common factors =1 x 1 = 1
LCM(186,3487) = ( 186 × 3487 ) / 1
LCM(186,3487) = 648582 / 1
LCM(186,3487) = 648582
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 8801/186, 8722/3487?
Answer: GCF of Numerators as per given numbers 8801/186, 8722/3487 is
GCF of Numerators i.e. for 8801,8722 is 1
LCM of denominators i.e. for 186,3487 is 648582.
Thus, GCF of Fractions is 1/648582.Finally, GCF of Fractions for 8801/186, 8722/3487 is 1/648582.