Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 775/16,486/41,337/173
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 775,486,337
Greatest Common Factor of Numerators i.e. GCF of 775,486,337 is 1 .
LCM of Denominators means LCM of 16,41,173 as per the given fractions.
LCM of 16,41,173 is 113488 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 775,486,337
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Factors of 486
List of positive integer factors of 486 that divides 486 without a remainder.
1,2,3,6,9,18,27,54,81,162,243,486
Factors of 337
List of positive integer factors of 337 that divides 337 without a remainder.
1,337
Greatest Common Factor
We found the factors 775,486,337 . The biggest common factor number is the GCF number.
So the greatest common factor 775,486,337 is 1.
Lets's calculate LCM of 16,41,173
Given numbers has no common factors except 1. So, there LCM is their product i.e 113488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113488
Therefore, the GCF of Fractions 775/16,486/41,337/173 is 1/113488
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 16,41,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,41,173) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,41,173) x common factors =1 x 1 = 1
LCM(16,41,173) = ( 16 × 41 × 173 ) / 1
LCM(16,41,173) = 113488 / 1
LCM(16,41,173) = 113488
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 775/16, 486/41, 337/173?
Answer: GCF of Numerators as per given numbers 775/16, 486/41, 337/173 is
GCF of Numerators i.e. for 775,486,337 is 1
LCM of denominators i.e. for 16,41,173 is 113488.
Thus, GCF of Fractions is 1/113488.Finally, GCF of Fractions for 775/16, 486/41, 337/173 is 1/113488.