Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 52/87,872/17,447/455
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 52,872,447
Greatest Common Factor of Numerators i.e. GCF of 52,872,447 is 1 .
LCM of Denominators means LCM of 87,17,455 as per the given fractions.
LCM of 87,17,455 is 672945 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 52,872,447
∴ 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 872
List of positive integer factors of 872 that divides 872 without a remainder.
1,2,4,8,109,218,436,872
Factors of 447
List of positive integer factors of 447 that divides 447 without a remainder.
1,3,149,447
Greatest Common Factor
We found the factors 52,872,447 . The biggest common factor number is the GCF number.
So the greatest common factor 52,872,447 is 1.
Lets's calculate LCM of 87,17,455
Given numbers has no common factors except 1. So, there LCM is their product i.e 672945
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/672945
Therefore, the GCF of Fractions 52/87,872/17,447/455 is 1/672945
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 87,17,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,17,455) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,17,455) x common factors =1 x 1 = 1
LCM(87,17,455) = ( 87 × 17 × 455 ) / 1
LCM(87,17,455) = 672945 / 1
LCM(87,17,455) = 672945
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 52/87, 872/17, 447/455?
Answer: GCF of Numerators as per given numbers 52/87, 872/17, 447/455 is
GCF of Numerators i.e. for 52,872,447 is 1
LCM of denominators i.e. for 87,17,455 is 672945.
Thus, GCF of Fractions is 1/672945.Finally, GCF of Fractions for 52/87, 872/17, 447/455 is 1/672945.