Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3923/533,4491/925
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 3923,4491
Greatest Common Factor of Numerators i.e. GCF of 3923,4491 is 1 .
LCM of Denominators means LCM of 533,925 as per the given fractions.
LCM of 533,925 is 493025 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3923,4491
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3923
List of positive integer factors of 3923 that divides 3923 without a remainder.
1,3923
Factors of 4491
List of positive integer factors of 4491 that divides 4491 without a remainder.
1,3,9,499,1497,4491
Greatest Common Factor
We found the factors 3923,4491 . The biggest common factor number is the GCF number.
So the greatest common factor 3923,4491 is 1.
Lets's calculate LCM of 533,925
Given numbers has no common factors except 1. So, there LCM is their product i.e 493025
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/493025
Therefore, the GCF of Fractions 3923/533,4491/925 is 1/493025
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 533,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(533,925) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(533,925) x common factors =1 x 1 = 1
LCM(533,925) = ( 533 × 925 ) / 1
LCM(533,925) = 493025 / 1
LCM(533,925) = 493025
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 3923/533, 4491/925?
Answer: GCF of Numerators as per given numbers 3923/533, 4491/925 is
GCF of Numerators i.e. for 3923,4491 is 1
LCM of denominators i.e. for 533,925 is 493025.
Thus, GCF of Fractions is 1/493025.Finally, GCF of Fractions for 3923/533, 4491/925 is 1/493025.