Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 544/20,923/419
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 544,923
Greatest Common Factor of Numerators i.e. GCF of 544,923 is 1 .
LCM of Denominators means LCM of 20,419 as per the given fractions.
LCM of 20,419 is 8380 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 544,923
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 544
List of positive integer factors of 544 that divides 544 without a remainder.
1,2,4,8,16,17,32,34,68,136,272,544
Factors of 923
List of positive integer factors of 923 that divides 923 without a remainder.
1,13,71,923
Greatest Common Factor
We found the factors 544,923 . The biggest common factor number is the GCF number.
So the greatest common factor 544,923 is 1.
Lets's calculate LCM of 20,419
Given numbers has no common factors except 1. So, there LCM is their product i.e 8380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8380
Therefore, the GCF of Fractions 544/20,923/419 is 1/8380
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 20,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(20,419) x common factors =1 x 1 = 1
LCM(20,419) = ( 20 × 419 ) / 1
LCM(20,419) = 8380 / 1
LCM(20,419) = 8380
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 544/20, 923/419?
Answer: GCF of Numerators as per given numbers 544/20, 923/419 is
GCF of Numerators i.e. for 544,923 is 1
LCM of denominators i.e. for 20,419 is 8380.
Thus, GCF of Fractions is 1/8380.Finally, GCF of Fractions for 544/20, 923/419 is 1/8380.