Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 591/15,887/38,760/977
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 591,887,760
Greatest Common Factor of Numerators i.e. GCF of 591,887,760 is 1 .
LCM of Denominators means LCM of 15,38,977 as per the given fractions.
LCM of 15,38,977 is 556890 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 591,887,760
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 591
List of positive integer factors of 591 that divides 591 without a remainder.
1,3,197,591
Factors of 887
List of positive integer factors of 887 that divides 887 without a remainder.
1,887
Factors of 760
List of positive integer factors of 760 that divides 760 without a remainder.
1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Greatest Common Factor
We found the factors 591,887,760 . The biggest common factor number is the GCF number.
So the greatest common factor 591,887,760 is 1.
Lets's calculate LCM of 15,38,977
Given numbers has no common factors except 1. So, there LCM is their product i.e 556890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/556890
Therefore, the GCF of Fractions 591/15,887/38,760/977 is 1/556890
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 15,38,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,38,977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,38,977) x common factors =1 x 1 = 1
LCM(15,38,977) = ( 15 × 38 × 977 ) / 1
LCM(15,38,977) = 556890 / 1
LCM(15,38,977) = 556890
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 591/15, 887/38, 760/977?
Answer: GCF of Numerators as per given numbers 591/15, 887/38, 760/977 is
GCF of Numerators i.e. for 591,887,760 is 1
LCM of denominators i.e. for 15,38,977 is 556890.
Thus, GCF of Fractions is 1/556890.Finally, GCF of Fractions for 591/15, 887/38, 760/977 is 1/556890.