Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6448/64,1579/923
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 6448,1579
Greatest Common Factor of Numerators i.e. GCF of 6448,1579 is 1 .
LCM of Denominators means LCM of 64,923 as per the given fractions.
LCM of 64,923 is 59072 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6448,1579
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6448
List of positive integer factors of 6448 that divides 6448 without a remainder.
1,2,4,8,13,16,26,31,52,62,104,124,208,248,403,496,806,1612,3224,6448
Factors of 1579
List of positive integer factors of 1579 that divides 1579 without a remainder.
1,1579
Greatest Common Factor
We found the factors 6448,1579 . The biggest common factor number is the GCF number.
So the greatest common factor 6448,1579 is 1.
Lets's calculate LCM of 64,923
Given numbers has no common factors except 1. So, there LCM is their product i.e 59072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59072
Therefore, the GCF of Fractions 6448/64,1579/923 is 1/59072
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 64,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,923) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,923) x common factors =1 x 1 = 1
LCM(64,923) = ( 64 × 923 ) / 1
LCM(64,923) = 59072 / 1
LCM(64,923) = 59072
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 6448/64, 1579/923?
Answer: GCF of Numerators as per given numbers 6448/64, 1579/923 is
GCF of Numerators i.e. for 6448,1579 is 1
LCM of denominators i.e. for 64,923 is 59072.
Thus, GCF of Fractions is 1/59072.Finally, GCF of Fractions for 6448/64, 1579/923 is 1/59072.