Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 525/283,9264/923
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 525,9264
Greatest Common Factor of Numerators i.e. GCF of 525,9264 is 3 .
LCM of Denominators means LCM of 283,923 as per the given fractions.
LCM of 283,923 is 261209 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 525,9264
3 | 525, 9264 |
175, 3088 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 525
List of positive integer factors of 525 that divides 525 without a remainder.
1,3,5,7,15,21,25,35,75,105,175,525
Factors of 9264
List of positive integer factors of 9264 that divides 9264 without a remainder.
1,2,3,4,6,8,12,16,24,48,193,386,579,772,1158,1544,2316,3088,4632,9264
Greatest Common Factor
We found the factors 525,9264 . The biggest common factor number is the GCF number.
So the greatest common factor 525,9264 is 3.
Lets's calculate LCM of 283,923
Given numbers has no common factors except 1. So, there LCM is their product i.e 261209
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/261209
Therefore, the GCF of Fractions 525/283,9264/923 is 3/261209
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 283,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(283,923) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(283,923) x common factors =1 x 1 = 1
LCM(283,923) = ( 283 × 923 ) / 1
LCM(283,923) = 261209 / 1
LCM(283,923) = 261209
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 525/283, 9264/923?
Answer: GCF of Numerators as per given numbers 525/283, 9264/923 is
GCF of Numerators i.e. for 525,9264 is 3
LCM of denominators i.e. for 283,923 is 261209.
Thus, GCF of Fractions is 3/261209.Finally, GCF of Fractions for 525/283, 9264/923 is 3/261209.