Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 67/483,892/997,878/599
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 67,892,878
Greatest Common Factor of Numerators i.e. GCF of 67,892,878 is 1 .
LCM of Denominators means LCM of 483,997,599 as per the given fractions.
LCM of 483,997,599 is 288449049 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 67,892,878
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 892
List of positive integer factors of 892 that divides 892 without a remainder.
1,2,4,223,446,892
Factors of 878
List of positive integer factors of 878 that divides 878 without a remainder.
1,2,439,878
Greatest Common Factor
We found the factors 67,892,878 . The biggest common factor number is the GCF number.
So the greatest common factor 67,892,878 is 1.
Lets's calculate LCM of 483,997,599
Given numbers has no common factors except 1. So, there LCM is their product i.e 288449049
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/288449049
Therefore, the GCF of Fractions 67/483,892/997,878/599 is 1/288449049
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 483,997,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(483,997,599) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(483,997,599) x common factors =1 x 1 = 1
LCM(483,997,599) = ( 483 × 997 × 599 ) / 1
LCM(483,997,599) = 288449049 / 1
LCM(483,997,599) = 288449049
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 67/483, 892/997, 878/599?
Answer: GCF of Numerators as per given numbers 67/483, 892/997, 878/599 is
GCF of Numerators i.e. for 67,892,878 is 1
LCM of denominators i.e. for 483,997,599 is 288449049.
Thus, GCF of Fractions is 1/288449049.Finally, GCF of Fractions for 67/483, 892/997, 878/599 is 1/288449049.