Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1385/917,4407/247
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 1385,4407
Greatest Common Factor of Numerators i.e. GCF of 1385,4407 is 1 .
LCM of Denominators means LCM of 917,247 as per the given fractions.
LCM of 917,247 is 226499 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1385,4407
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1385
List of positive integer factors of 1385 that divides 1385 without a remainder.
1,5,277,1385
Factors of 4407
List of positive integer factors of 4407 that divides 4407 without a remainder.
1,3,13,39,113,339,1469,4407
Greatest Common Factor
We found the factors 1385,4407 . The biggest common factor number is the GCF number.
So the greatest common factor 1385,4407 is 1.
Lets's calculate LCM of 917,247
Given numbers has no common factors except 1. So, there LCM is their product i.e 226499
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/226499
Therefore, the GCF of Fractions 1385/917,4407/247 is 1/226499
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 917,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(917,247) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(917,247) x common factors =1 x 1 = 1
LCM(917,247) = ( 917 × 247 ) / 1
LCM(917,247) = 226499 / 1
LCM(917,247) = 226499
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 1385/917, 4407/247?
Answer: GCF of Numerators as per given numbers 1385/917, 4407/247 is
GCF of Numerators i.e. for 1385,4407 is 1
LCM of denominators i.e. for 917,247 is 226499.
Thus, GCF of Fractions is 1/226499.Finally, GCF of Fractions for 1385/917, 4407/247 is 1/226499.