Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 488/521,9398/803
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 488,9398
Greatest Common Factor of Numerators i.e. GCF of 488,9398 is 2 .
LCM of Denominators means LCM of 521,803 as per the given fractions.
LCM of 521,803 is 418363 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 488,9398
2 | 488, 9398 |
244, 4699 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 488
List of positive integer factors of 488 that divides 488 without a remainder.
1,2,4,8,61,122,244,488
Factors of 9398
List of positive integer factors of 9398 that divides 9398 without a remainder.
1,2,37,74,127,254,4699,9398
Greatest Common Factor
We found the factors 488,9398 . The biggest common factor number is the GCF number.
So the greatest common factor 488,9398 is 2.
Lets's calculate LCM of 521,803
Given numbers has no common factors except 1. So, there LCM is their product i.e 418363
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/418363
Therefore, the GCF of Fractions 488/521,9398/803 is 2/418363
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 521,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(521,803) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(521,803) x common factors =1 x 1 = 1
LCM(521,803) = ( 521 × 803 ) / 1
LCM(521,803) = 418363 / 1
LCM(521,803) = 418363
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 488/521, 9398/803?
Answer: GCF of Numerators as per given numbers 488/521, 9398/803 is
GCF of Numerators i.e. for 488,9398 is 2
LCM of denominators i.e. for 521,803 is 418363.
Thus, GCF of Fractions is 2/418363.Finally, GCF of Fractions for 488/521, 9398/803 is 2/418363.