Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 929/825,1927/454
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 929,1927
Greatest Common Factor of Numerators i.e. GCF of 929,1927 is 1 .
LCM of Denominators means LCM of 825,454 as per the given fractions.
LCM of 825,454 is 374550 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 929,1927
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 929
List of positive integer factors of 929 that divides 929 without a remainder.
1,929
Factors of 1927
List of positive integer factors of 1927 that divides 1927 without a remainder.
1,41,47,1927
Greatest Common Factor
We found the factors 929,1927 . The biggest common factor number is the GCF number.
So the greatest common factor 929,1927 is 1.
Lets's calculate LCM of 825,454
Given numbers has no common factors except 1. So, there LCM is their product i.e 374550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/374550
Therefore, the GCF of Fractions 929/825,1927/454 is 1/374550
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 825,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,454) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(825,454) x common factors =1 x 1 = 1
LCM(825,454) = ( 825 × 454 ) / 1
LCM(825,454) = 374550 / 1
LCM(825,454) = 374550
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 929/825, 1927/454?
Answer: GCF of Numerators as per given numbers 929/825, 1927/454 is
GCF of Numerators i.e. for 929,1927 is 1
LCM of denominators i.e. for 825,454 is 374550.
Thus, GCF of Fractions is 1/374550.Finally, GCF of Fractions for 929/825, 1927/454 is 1/374550.