Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5464/923,4766/2611
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 5464,4766
Greatest Common Factor of Numerators i.e. GCF of 5464,4766 is 2 .
LCM of Denominators means LCM of 923,2611 as per the given fractions.
LCM of 923,2611 is 2409953 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5464,4766
2 | 5464, 4766 |
2732, 2383 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5464
List of positive integer factors of 5464 that divides 5464 without a remainder.
1,2,4,8,683,1366,2732,5464
Factors of 4766
List of positive integer factors of 4766 that divides 4766 without a remainder.
1,2,2383,4766
Greatest Common Factor
We found the factors 5464,4766 . The biggest common factor number is the GCF number.
So the greatest common factor 5464,4766 is 2.
Lets's calculate LCM of 923,2611
Given numbers has no common factors except 1. So, there LCM is their product i.e 2409953
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2409953
Therefore, the GCF of Fractions 5464/923,4766/2611 is 2/2409953
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 923,2611 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(923,2611) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(923,2611) x common factors =1 x 1 = 1
LCM(923,2611) = ( 923 × 2611 ) / 1
LCM(923,2611) = 2409953 / 1
LCM(923,2611) = 2409953
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 5464/923, 4766/2611?
Answer: GCF of Numerators as per given numbers 5464/923, 4766/2611 is
GCF of Numerators i.e. for 5464,4766 is 2
LCM of denominators i.e. for 923,2611 is 2409953.
Thus, GCF of Fractions is 2/2409953.Finally, GCF of Fractions for 5464/923, 4766/2611 is 2/2409953.