Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 52/673,13/263,972/591
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 52,13,972
Greatest Common Factor of Numerators i.e. GCF of 52,13,972 is 1 .
LCM of Denominators means LCM of 673,263,591 as per the given fractions.
LCM of 673,263,591 is 104606409 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 52,13,972
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 972
List of positive integer factors of 972 that divides 972 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972
Greatest Common Factor
We found the factors 52,13,972 . The biggest common factor number is the GCF number.
So the greatest common factor 52,13,972 is 1.
Lets's calculate LCM of 673,263,591
Given numbers has no common factors except 1. So, there LCM is their product i.e 104606409
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104606409
Therefore, the GCF of Fractions 52/673,13/263,972/591 is 1/104606409
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 673,263,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(673,263,591) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(673,263,591) x common factors =1 x 1 = 1
LCM(673,263,591) = ( 673 × 263 × 591 ) / 1
LCM(673,263,591) = 104606409 / 1
LCM(673,263,591) = 104606409
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 52/673, 13/263, 972/591?
Answer: GCF of Numerators as per given numbers 52/673, 13/263, 972/591 is
GCF of Numerators i.e. for 52,13,972 is 1
LCM of denominators i.e. for 673,263,591 is 104606409.
Thus, GCF of Fractions is 1/104606409.Finally, GCF of Fractions for 52/673, 13/263, 972/591 is 1/104606409.