Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 525/904,839/200
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 525,839
Greatest Common Factor of Numerators i.e. GCF of 525,839 is 1 .
LCM of Denominators means LCM of 904,200 as per the given fractions.
LCM of 904,200 is 22600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 525,839
∴ So GCF of numbers is 1 because of no common factors present between them.
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 839
List of positive integer factors of 839 that divides 839 without a remainder.
1,839
Greatest Common Factor
We found the factors 525,839 . The biggest common factor number is the GCF number.
So the greatest common factor 525,839 is 1.
Lets's calculate LCM of 904,200
2 | 904, 200 |
2 | 452, 100 |
2 | 226, 50 |
113, 25 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 113 x 25 = 22600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22600
Therefore, the GCF of Fractions 525/904,839/200 is 1/22600
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 904,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(904,200) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(904,200) x common factors =8 x 1 = 8
LCM(904,200) = ( 904 × 200 ) / 8
LCM(904,200) = 180800 / 8
LCM(904,200) = 22600
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 525/904, 839/200?
Answer: GCF of Numerators as per given numbers 525/904, 839/200 is
GCF of Numerators i.e. for 525,839 is 1
LCM of denominators i.e. for 904,200 is 22600.
Thus, GCF of Fractions is 1/22600.Finally, GCF of Fractions for 525/904, 839/200 is 1/22600.