Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 885/20,524/23,792/103
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 885,524,792
Greatest Common Factor of Numerators i.e. GCF of 885,524,792 is 1 .
LCM of Denominators means LCM of 20,23,103 as per the given fractions.
LCM of 20,23,103 is 47380 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 885,524,792
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Factors of 524
List of positive integer factors of 524 that divides 524 without a remainder.
1,2,4,131,262,524
Factors of 792
List of positive integer factors of 792 that divides 792 without a remainder.
1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792
Greatest Common Factor
We found the factors 885,524,792 . The biggest common factor number is the GCF number.
So the greatest common factor 885,524,792 is 1.
Lets's calculate LCM of 20,23,103
Given numbers has no common factors except 1. So, there LCM is their product i.e 47380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47380
Therefore, the GCF of Fractions 885/20,524/23,792/103 is 1/47380
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 20,23,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,23,103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(20,23,103) x common factors =1 x 1 = 1
LCM(20,23,103) = ( 20 × 23 × 103 ) / 1
LCM(20,23,103) = 47380 / 1
LCM(20,23,103) = 47380
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 885/20, 524/23, 792/103?
Answer: GCF of Numerators as per given numbers 885/20, 524/23, 792/103 is
GCF of Numerators i.e. for 885,524,792 is 1
LCM of denominators i.e. for 20,23,103 is 47380.
Thus, GCF of Fractions is 1/47380.Finally, GCF of Fractions for 885/20, 524/23, 792/103 is 1/47380.