Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 319/52,540/7953
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 319,540
Greatest Common Factor of Numerators i.e. GCF of 319,540 is 1 .
LCM of Denominators means LCM of 52,7953 as per the given fractions.
LCM of 52,7953 is 413556 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 319,540
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 319
List of positive integer factors of 319 that divides 319 without a remainder.
1,11,29,319
Factors of 540
List of positive integer factors of 540 that divides 540 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540
Greatest Common Factor
We found the factors 319,540 . The biggest common factor number is the GCF number.
So the greatest common factor 319,540 is 1.
Lets's calculate LCM of 52,7953
Given numbers has no common factors except 1. So, there LCM is their product i.e 413556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/413556
Therefore, the GCF of Fractions 319/52,540/7953 is 1/413556
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 52,7953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,7953) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(52,7953) x common factors =1 x 1 = 1
LCM(52,7953) = ( 52 × 7953 ) / 1
LCM(52,7953) = 413556 / 1
LCM(52,7953) = 413556
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 319/52, 540/7953?
Answer: GCF of Numerators as per given numbers 319/52, 540/7953 is
GCF of Numerators i.e. for 319,540 is 1
LCM of denominators i.e. for 52,7953 is 413556.
Thus, GCF of Fractions is 1/413556.Finally, GCF of Fractions for 319/52, 540/7953 is 1/413556.