Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 927/47,734/29,892/888
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 927,734,892
Greatest Common Factor of Numerators i.e. GCF of 927,734,892 is 1 .
LCM of Denominators means LCM of 47,29,888 as per the given fractions.
LCM of 47,29,888 is 1210344 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 927,734,892
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 927
List of positive integer factors of 927 that divides 927 without a remainder.
1,3,9,103,309,927
Factors of 734
List of positive integer factors of 734 that divides 734 without a remainder.
1,2,367,734
Factors of 892
List of positive integer factors of 892 that divides 892 without a remainder.
1,2,4,223,446,892
Greatest Common Factor
We found the factors 927,734,892 . The biggest common factor number is the GCF number.
So the greatest common factor 927,734,892 is 1.
Lets's calculate LCM of 47,29,888
Given numbers has no common factors except 1. So, there LCM is their product i.e 1210344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1210344
Therefore, the GCF of Fractions 927/47,734/29,892/888 is 1/1210344
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 47,29,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,29,888) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,29,888) x common factors =1 x 1 = 1
LCM(47,29,888) = ( 47 × 29 × 888 ) / 1
LCM(47,29,888) = 1210344 / 1
LCM(47,29,888) = 1210344
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 927/47, 734/29, 892/888?
Answer: GCF of Numerators as per given numbers 927/47, 734/29, 892/888 is
GCF of Numerators i.e. for 927,734,892 is 1
LCM of denominators i.e. for 47,29,888 is 1210344.
Thus, GCF of Fractions is 1/1210344.Finally, GCF of Fractions for 927/47, 734/29, 892/888 is 1/1210344.