Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 73/23,540/89,101/773
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 73,540,101
Greatest Common Factor of Numerators i.e. GCF of 73,540,101 is 1 .
LCM of Denominators means LCM of 23,89,773 as per the given fractions.
LCM of 23,89,773 is 1582331 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 73,540,101
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
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
Factors of 101
List of positive integer factors of 101 that divides 101 without a remainder.
1,101
Greatest Common Factor
We found the factors 73,540,101 . The biggest common factor number is the GCF number.
So the greatest common factor 73,540,101 is 1.
Lets's calculate LCM of 23,89,773
Given numbers has no common factors except 1. So, there LCM is their product i.e 1582331
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1582331
Therefore, the GCF of Fractions 73/23,540/89,101/773 is 1/1582331
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 23,89,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,89,773) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,89,773) x common factors =1 x 1 = 1
LCM(23,89,773) = ( 23 × 89 × 773 ) / 1
LCM(23,89,773) = 1582331 / 1
LCM(23,89,773) = 1582331
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 73/23, 540/89, 101/773?
Answer: GCF of Numerators as per given numbers 73/23, 540/89, 101/773 is
GCF of Numerators i.e. for 73,540,101 is 1
LCM of denominators i.e. for 23,89,773 is 1582331.
Thus, GCF of Fractions is 1/1582331.Finally, GCF of Fractions for 73/23, 540/89, 101/773 is 1/1582331.