Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 21/521,48/379
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 21,48
Greatest Common Factor of Numerators i.e. GCF of 21,48 is 3 .
LCM of Denominators means LCM of 521,379 as per the given fractions.
LCM of 521,379 is 197459 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 21,48
3 | 21, 48 |
7, 16 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Greatest Common Factor
We found the factors 21,48 . The biggest common factor number is the GCF number.
So the greatest common factor 21,48 is 3.
Lets's calculate LCM of 521,379
Given numbers has no common factors except 1. So, there LCM is their product i.e 197459
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/197459
Therefore, the GCF of Fractions 21/521,48/379 is 3/197459
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 521,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(521,379) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(521,379) x common factors =1 x 1 = 1
LCM(521,379) = ( 521 × 379 ) / 1
LCM(521,379) = 197459 / 1
LCM(521,379) = 197459
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 21/521, 48/379?
Answer: GCF of Numerators as per given numbers 21/521, 48/379 is
GCF of Numerators i.e. for 21,48 is 3
LCM of denominators i.e. for 521,379 is 197459.
Thus, GCF of Fractions is 3/197459.Finally, GCF of Fractions for 21/521, 48/379 is 3/197459.