Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 821/576,4914/373
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 821,4914
Greatest Common Factor of Numerators i.e. GCF of 821,4914 is 1 .
LCM of Denominators means LCM of 576,373 as per the given fractions.
LCM of 576,373 is 214848 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 821,4914
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 821
List of positive integer factors of 821 that divides 821 without a remainder.
1,821
Factors of 4914
List of positive integer factors of 4914 that divides 4914 without a remainder.
1,2,3,6,7,9,13,14,18,21,26,27,39,42,54,63,78,91,117,126,182,189,234,273,351,378,546,702,819,1638,2457,4914
Greatest Common Factor
We found the factors 821,4914 . The biggest common factor number is the GCF number.
So the greatest common factor 821,4914 is 1.
Lets's calculate LCM of 576,373
Given numbers has no common factors except 1. So, there LCM is their product i.e 214848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/214848
Therefore, the GCF of Fractions 821/576,4914/373 is 1/214848
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 576,373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(576,373) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(576,373) x common factors =1 x 1 = 1
LCM(576,373) = ( 576 × 373 ) / 1
LCM(576,373) = 214848 / 1
LCM(576,373) = 214848
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 821/576, 4914/373?
Answer: GCF of Numerators as per given numbers 821/576, 4914/373 is
GCF of Numerators i.e. for 821,4914 is 1
LCM of denominators i.e. for 576,373 is 214848.
Thus, GCF of Fractions is 1/214848.Finally, GCF of Fractions for 821/576, 4914/373 is 1/214848.