Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2485/923,4640/1649
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 2485,4640
Greatest Common Factor of Numerators i.e. GCF of 2485,4640 is 5 .
LCM of Denominators means LCM of 923,1649 as per the given fractions.
LCM of 923,1649 is 1522027 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2485,4640
5 | 2485, 4640 |
497, 928 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 2485
List of positive integer factors of 2485 that divides 2485 without a remainder.
1,5,7,35,71,355,497,2485
Factors of 4640
List of positive integer factors of 4640 that divides 4640 without a remainder.
1,2,4,5,8,10,16,20,29,32,40,58,80,116,145,160,232,290,464,580,928,1160,2320,4640
Greatest Common Factor
We found the factors 2485,4640 . The biggest common factor number is the GCF number.
So the greatest common factor 2485,4640 is 5.
Lets's calculate LCM of 923,1649
Given numbers has no common factors except 1. So, there LCM is their product i.e 1522027
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1522027
Therefore, the GCF of Fractions 2485/923,4640/1649 is 5/1522027
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 923,1649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(923,1649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(923,1649) x common factors =1 x 1 = 1
LCM(923,1649) = ( 923 × 1649 ) / 1
LCM(923,1649) = 1522027 / 1
LCM(923,1649) = 1522027
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 2485/923, 4640/1649?
Answer: GCF of Numerators as per given numbers 2485/923, 4640/1649 is
GCF of Numerators i.e. for 2485,4640 is 5
LCM of denominators i.e. for 923,1649 is 1522027.
Thus, GCF of Fractions is 5/1522027.Finally, GCF of Fractions for 2485/923, 4640/1649 is 5/1522027.