Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 455/184,9921/320
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 455,9921
Greatest Common Factor of Numerators i.e. GCF of 455,9921 is 1 .
LCM of Denominators means LCM of 184,320 as per the given fractions.
LCM of 184,320 is 7360 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 455,9921
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 455
List of positive integer factors of 455 that divides 455 without a remainder.
1,5,7,13,35,65,91,455
Factors of 9921
List of positive integer factors of 9921 that divides 9921 without a remainder.
1,3,3307,9921
Greatest Common Factor
We found the factors 455,9921 . The biggest common factor number is the GCF number.
So the greatest common factor 455,9921 is 1.
Lets's calculate LCM of 184,320
2 | 184, 320 |
2 | 92, 160 |
2 | 46, 80 |
23, 40 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 23 x 40 = 7360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7360
Therefore, the GCF of Fractions 455/184,9921/320 is 1/7360
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 184,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(184,320) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(184,320) x common factors =8 x 1 = 8
LCM(184,320) = ( 184 × 320 ) / 8
LCM(184,320) = 58880 / 8
LCM(184,320) = 7360
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 455/184, 9921/320?
Answer: GCF of Numerators as per given numbers 455/184, 9921/320 is
GCF of Numerators i.e. for 455,9921 is 1
LCM of denominators i.e. for 184,320 is 7360.
Thus, GCF of Fractions is 1/7360.Finally, GCF of Fractions for 455/184, 9921/320 is 1/7360.