Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 985/39,523/89,449/370
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 985,523,449
Greatest Common Factor of Numerators i.e. GCF of 985,523,449 is 1 .
LCM of Denominators means LCM of 39,89,370 as per the given fractions.
LCM of 39,89,370 is 1284270 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 985,523,449
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 985
List of positive integer factors of 985 that divides 985 without a remainder.
1,5,197,985
Factors of 523
List of positive integer factors of 523 that divides 523 without a remainder.
1,523
Factors of 449
List of positive integer factors of 449 that divides 449 without a remainder.
1,449
Greatest Common Factor
We found the factors 985,523,449 . The biggest common factor number is the GCF number.
So the greatest common factor 985,523,449 is 1.
Lets's calculate LCM of 39,89,370
Given numbers has no common factors except 1. So, there LCM is their product i.e 1284270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1284270
Therefore, the GCF of Fractions 985/39,523/89,449/370 is 1/1284270
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 39,89,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,89,370) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,89,370) x common factors =1 x 1 = 1
LCM(39,89,370) = ( 39 × 89 × 370 ) / 1
LCM(39,89,370) = 1284270 / 1
LCM(39,89,370) = 1284270
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 985/39, 523/89, 449/370?
Answer: GCF of Numerators as per given numbers 985/39, 523/89, 449/370 is
GCF of Numerators i.e. for 985,523,449 is 1
LCM of denominators i.e. for 39,89,370 is 1284270.
Thus, GCF of Fractions is 1/1284270.Finally, GCF of Fractions for 985/39, 523/89, 449/370 is 1/1284270.