Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2464/323,3611/545
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 2464,3611
Greatest Common Factor of Numerators i.e. GCF of 2464,3611 is 1 .
LCM of Denominators means LCM of 323,545 as per the given fractions.
LCM of 323,545 is 176035 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2464,3611
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2464
List of positive integer factors of 2464 that divides 2464 without a remainder.
1,2,4,7,8,11,14,16,22,28,32,44,56,77,88,112,154,176,224,308,352,616,1232,2464
Factors of 3611
List of positive integer factors of 3611 that divides 3611 without a remainder.
1,23,157,3611
Greatest Common Factor
We found the factors 2464,3611 . The biggest common factor number is the GCF number.
So the greatest common factor 2464,3611 is 1.
Lets's calculate LCM of 323,545
Given numbers has no common factors except 1. So, there LCM is their product i.e 176035
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/176035
Therefore, the GCF of Fractions 2464/323,3611/545 is 1/176035
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 323,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(323,545) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(323,545) x common factors =1 x 1 = 1
LCM(323,545) = ( 323 × 545 ) / 1
LCM(323,545) = 176035 / 1
LCM(323,545) = 176035
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 2464/323, 3611/545?
Answer: GCF of Numerators as per given numbers 2464/323, 3611/545 is
GCF of Numerators i.e. for 2464,3611 is 1
LCM of denominators i.e. for 323,545 is 176035.
Thus, GCF of Fractions is 1/176035.Finally, GCF of Fractions for 2464/323, 3611/545 is 1/176035.