Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9592/481,4168/525
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 9592,4168
Greatest Common Factor of Numerators i.e. GCF of 9592,4168 is 8 .
LCM of Denominators means LCM of 481,525 as per the given fractions.
LCM of 481,525 is 252525 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9592,4168
2 | 9592, 4168 |
2 | 4796, 2084 |
2 | 2398, 1042 |
1199, 521 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 9592
List of positive integer factors of 9592 that divides 9592 without a remainder.
1,2,4,8,11,22,44,88,109,218,436,872,1199,2398,4796,9592
Factors of 4168
List of positive integer factors of 4168 that divides 4168 without a remainder.
1,2,4,8,521,1042,2084,4168
Greatest Common Factor
We found the factors 9592,4168 . The biggest common factor number is the GCF number.
So the greatest common factor 9592,4168 is 8.
Lets's calculate LCM of 481,525
Given numbers has no common factors except 1. So, there LCM is their product i.e 252525
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/252525
Therefore, the GCF of Fractions 9592/481,4168/525 is 8/252525
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 481,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(481,525) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(481,525) x common factors =1 x 1 = 1
LCM(481,525) = ( 481 × 525 ) / 1
LCM(481,525) = 252525 / 1
LCM(481,525) = 252525
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 9592/481, 4168/525?
Answer: GCF of Numerators as per given numbers 9592/481, 4168/525 is
GCF of Numerators i.e. for 9592,4168 is 8
LCM of denominators i.e. for 481,525 is 252525.
Thus, GCF of Fractions is 8/252525.Finally, GCF of Fractions for 9592/481, 4168/525 is 8/252525.