Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 874/91,831/29,929/64
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 874,831,929
Greatest Common Factor of Numerators i.e. GCF of 874,831,929 is 1 .
LCM of Denominators means LCM of 91,29,64 as per the given fractions.
LCM of 91,29,64 is 168896 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 874,831,929
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 874
List of positive integer factors of 874 that divides 874 without a remainder.
1,2,19,23,38,46,437,874
Factors of 831
List of positive integer factors of 831 that divides 831 without a remainder.
1,3,277,831
Factors of 929
List of positive integer factors of 929 that divides 929 without a remainder.
1,929
Greatest Common Factor
We found the factors 874,831,929 . The biggest common factor number is the GCF number.
So the greatest common factor 874,831,929 is 1.
Lets's calculate LCM of 91,29,64
Given numbers has no common factors except 1. So, there LCM is their product i.e 168896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/168896
Therefore, the GCF of Fractions 874/91,831/29,929/64 is 1/168896
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 91,29,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,29,64) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,29,64) x common factors =1 x 1 = 1
LCM(91,29,64) = ( 91 × 29 × 64 ) / 1
LCM(91,29,64) = 168896 / 1
LCM(91,29,64) = 168896
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 874/91, 831/29, 929/64?
Answer: GCF of Numerators as per given numbers 874/91, 831/29, 929/64 is
GCF of Numerators i.e. for 874,831,929 is 1
LCM of denominators i.e. for 91,29,64 is 168896.
Thus, GCF of Fractions is 1/168896.Finally, GCF of Fractions for 874/91, 831/29, 929/64 is 1/168896.