Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 253/411,9872/923
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 253,9872
Greatest Common Factor of Numerators i.e. GCF of 253,9872 is 1 .
LCM of Denominators means LCM of 411,923 as per the given fractions.
LCM of 411,923 is 379353 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 253,9872
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 253
List of positive integer factors of 253 that divides 253 without a remainder.
1,11,23,253
Factors of 9872
List of positive integer factors of 9872 that divides 9872 without a remainder.
1,2,4,8,16,617,1234,2468,4936,9872
Greatest Common Factor
We found the factors 253,9872 . The biggest common factor number is the GCF number.
So the greatest common factor 253,9872 is 1.
Lets's calculate LCM of 411,923
Given numbers has no common factors except 1. So, there LCM is their product i.e 379353
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/379353
Therefore, the GCF of Fractions 253/411,9872/923 is 1/379353
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 411,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(411,923) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(411,923) x common factors =1 x 1 = 1
LCM(411,923) = ( 411 × 923 ) / 1
LCM(411,923) = 379353 / 1
LCM(411,923) = 379353
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 253/411, 9872/923?
Answer: GCF of Numerators as per given numbers 253/411, 9872/923 is
GCF of Numerators i.e. for 253,9872 is 1
LCM of denominators i.e. for 411,923 is 379353.
Thus, GCF of Fractions is 1/379353.Finally, GCF of Fractions for 253/411, 9872/923 is 1/379353.