Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 864/451,908/560,765/991
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 864,908,765
Greatest Common Factor of Numerators i.e. GCF of 864,908,765 is 1 .
LCM of Denominators means LCM of 451,560,991 as per the given fractions.
LCM of 451,560,991 is 250286960 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 864,908,765
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 864
List of positive integer factors of 864 that divides 864 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864
Factors of 908
List of positive integer factors of 908 that divides 908 without a remainder.
1,2,4,227,454,908
Factors of 765
List of positive integer factors of 765 that divides 765 without a remainder.
1,3,5,9,15,17,45,51,85,153,255,765
Greatest Common Factor
We found the factors 864,908,765 . The biggest common factor number is the GCF number.
So the greatest common factor 864,908,765 is 1.
Lets's calculate LCM of 451,560,991
Given numbers has no common factors except 1. So, there LCM is their product i.e 250286960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/250286960
Therefore, the GCF of Fractions 864/451,908/560,765/991 is 1/250286960
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 451,560,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(451,560,991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(451,560,991) x common factors =1 x 1 = 1
LCM(451,560,991) = ( 451 × 560 × 991 ) / 1
LCM(451,560,991) = 250286960 / 1
LCM(451,560,991) = 250286960
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 864/451, 908/560, 765/991?
Answer: GCF of Numerators as per given numbers 864/451, 908/560, 765/991 is
GCF of Numerators i.e. for 864,908,765 is 1
LCM of denominators i.e. for 451,560,991 is 250286960.
Thus, GCF of Fractions is 1/250286960.Finally, GCF of Fractions for 864/451, 908/560, 765/991 is 1/250286960.