Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 100/806,373/401,592/577
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 100,373,592
Greatest Common Factor of Numerators i.e. GCF of 100,373,592 is 1 .
LCM of Denominators means LCM of 806,401,577 as per the given fractions.
LCM of 806,401,577 is 186489862 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 100,373,592
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 100
List of positive integer factors of 100 that divides 100 without a remainder.
1,2,4,5,10,20,25,50,100
Factors of 373
List of positive integer factors of 373 that divides 373 without a remainder.
1,373
Factors of 592
List of positive integer factors of 592 that divides 592 without a remainder.
1,2,4,8,16,37,74,148,296,592
Greatest Common Factor
We found the factors 100,373,592 . The biggest common factor number is the GCF number.
So the greatest common factor 100,373,592 is 1.
Lets's calculate LCM of 806,401,577
Given numbers has no common factors except 1. So, there LCM is their product i.e 186489862
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/186489862
Therefore, the GCF of Fractions 100/806,373/401,592/577 is 1/186489862
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 806,401,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,401,577) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(806,401,577) x common factors =1 x 1 = 1
LCM(806,401,577) = ( 806 × 401 × 577 ) / 1
LCM(806,401,577) = 186489862 / 1
LCM(806,401,577) = 186489862
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 100/806, 373/401, 592/577?
Answer: GCF of Numerators as per given numbers 100/806, 373/401, 592/577 is
GCF of Numerators i.e. for 100,373,592 is 1
LCM of denominators i.e. for 806,401,577 is 186489862.
Thus, GCF of Fractions is 1/186489862.Finally, GCF of Fractions for 100/806, 373/401, 592/577 is 1/186489862.