Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 89/775,906/253,387/388
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 89,906,387
Greatest Common Factor of Numerators i.e. GCF of 89,906,387 is 1 .
LCM of Denominators means LCM of 775,253,388 as per the given fractions.
LCM of 775,253,388 is 76077100 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 89,906,387
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 906
List of positive integer factors of 906 that divides 906 without a remainder.
1,2,3,6,151,302,453,906
Factors of 387
List of positive integer factors of 387 that divides 387 without a remainder.
1,3,9,43,129,387
Greatest Common Factor
We found the factors 89,906,387 . The biggest common factor number is the GCF number.
So the greatest common factor 89,906,387 is 1.
Lets's calculate LCM of 775,253,388
Given numbers has no common factors except 1. So, there LCM is their product i.e 76077100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76077100
Therefore, the GCF of Fractions 89/775,906/253,387/388 is 1/76077100
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 775,253,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(775,253,388) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(775,253,388) x common factors =1 x 1 = 1
LCM(775,253,388) = ( 775 × 253 × 388 ) / 1
LCM(775,253,388) = 76077100 / 1
LCM(775,253,388) = 76077100
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 89/775, 906/253, 387/388?
Answer: GCF of Numerators as per given numbers 89/775, 906/253, 387/388 is
GCF of Numerators i.e. for 89,906,387 is 1
LCM of denominators i.e. for 775,253,388 is 76077100.
Thus, GCF of Fractions is 1/76077100.Finally, GCF of Fractions for 89/775, 906/253, 387/388 is 1/76077100.