Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4675/495,4542/609
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 4675,4542
Greatest Common Factor of Numerators i.e. GCF of 4675,4542 is 1 .
LCM of Denominators means LCM of 495,609 as per the given fractions.
LCM of 495,609 is 100485 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4675,4542
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4675
List of positive integer factors of 4675 that divides 4675 without a remainder.
1,5,11,17,25,55,85,187,275,425,935,4675
Factors of 4542
List of positive integer factors of 4542 that divides 4542 without a remainder.
1,2,3,6,757,1514,2271,4542
Greatest Common Factor
We found the factors 4675,4542 . The biggest common factor number is the GCF number.
So the greatest common factor 4675,4542 is 1.
Lets's calculate LCM of 495,609
3 | 495, 609 |
165, 203 |
∴ So the LCM of the given numbers is 3 x 165 x 203 = 100485
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100485
Therefore, the GCF of Fractions 4675/495,4542/609 is 1/100485
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 495,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(495,609) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(495,609) x common factors =3 x 1 = 3
LCM(495,609) = ( 495 × 609 ) / 3
LCM(495,609) = 301455 / 3
LCM(495,609) = 100485
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 4675/495, 4542/609?
Answer: GCF of Numerators as per given numbers 4675/495, 4542/609 is
GCF of Numerators i.e. for 4675,4542 is 1
LCM of denominators i.e. for 495,609 is 100485.
Thus, GCF of Fractions is 1/100485.Finally, GCF of Fractions for 4675/495, 4542/609 is 1/100485.