Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 144/23,651/33,671/53
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 144,651,671
Greatest Common Factor of Numerators i.e. GCF of 144,651,671 is 1 .
LCM of Denominators means LCM of 23,33,53 as per the given fractions.
LCM of 23,33,53 is 40227 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 144,651,671
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 144
List of positive integer factors of 144 that divides 144 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,36,48,72,144
Factors of 651
List of positive integer factors of 651 that divides 651 without a remainder.
1,3,7,21,31,93,217,651
Factors of 671
List of positive integer factors of 671 that divides 671 without a remainder.
1,11,61,671
Greatest Common Factor
We found the factors 144,651,671 . The biggest common factor number is the GCF number.
So the greatest common factor 144,651,671 is 1.
Lets's calculate LCM of 23,33,53
Given numbers has no common factors except 1. So, there LCM is their product i.e 40227
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40227
Therefore, the GCF of Fractions 144/23,651/33,671/53 is 1/40227
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 23,33,53 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,33,53) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,33,53) x common factors =1 x 1 = 1
LCM(23,33,53) = ( 23 × 33 × 53 ) / 1
LCM(23,33,53) = 40227 / 1
LCM(23,33,53) = 40227
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 144/23, 651/33, 671/53?
Answer: GCF of Numerators as per given numbers 144/23, 651/33, 671/53 is
GCF of Numerators i.e. for 144,651,671 is 1
LCM of denominators i.e. for 23,33,53 is 40227.
Thus, GCF of Fractions is 1/40227.Finally, GCF of Fractions for 144/23, 651/33, 671/53 is 1/40227.