Use our free GCF of Fractions Calculator tool to compute the GCF of 5876/836, 8353/1700 i.e 1/355300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5876/836, 8353/1700.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5876/836,8353/1700
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 5876/836,8353/1700, numerators are 5876,8353
Denominators are 836,1700
The GCF of 5876,8353 is 1 .
LCM of 836,1700 is 355300.
The greatest common factor of 5876/836,8353/1700 = [GCF of 5876,8353]/[LCM of 836,1700]= 1/355300
Therefore, the GCF of 5876/836,8353/1700 is 1/355300.
To find the highest common factor of 5876,8353, we have to find the factors of both numbers and list the highest common factor.
The factors of 5876 are 1, 2, 4, 13, 26, 52, 113, 226, 452, 1469, 2938, 5876
The factors of 8353 are 1, 8353
The HCF of 5876,8353 is 1.
Lets's calculate GCF of 5876,8353
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5876
:1,2,4,13,26,52,113,226,452,1469,2938,5876
Now, list down the factors of 8353
:1,8353
Greatest Common Factor
We found the factors 5876,8353 . The biggest common factor number is the GCF number.
So the greatest common factor 5876,8353 is 1.
Lets's calculate LCM of 836,1700
2 | 836, 1700 |
2 | 418, 850 |
209, 425 |
∴ So the LCM of the given numbers is 2 x 2 x 209 x 425 = 355300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/355300
Therefore, the GCF of Fractions 5876/836,8353/1700 is 1/355300
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 836,1700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(836,1700) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(836,1700) x common factors =4 x 1 = 4
LCM(836,1700) = ( 836 × 1700 ) / 4
LCM(836,1700) = 1421200 / 4
LCM(836,1700) = 355300
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5876,8353?
The HCF of 5876,8353 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 5876/836, 8353/1700?
Answer: GCF of Numerators as per given numbers 5876/836, 8353/1700 is
GCF of Numerators i.e. for 5876,8353 is 1
LCM of denominators i.e. for 836,1700 is 355300.
Thus, GCF of Fractions is 1/355300.Finally, GCF of Fractions for 5876/836, 8353/1700 is 1/355300.