Use our free GCF of Fractions Calculator tool to compute the GCF of 35/844, 839/777, 514/879 i.e 1/192145884 easily. The following is the detailed procedure to determine the greatest common factor of fractions 35/844, 839/777, 514/879.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 35/844,839/777,514/879
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 35/844,839/777,514/879, numerators are 35,839,514
Denominators are 844,777,879
The GCF of 35,839,514 is 1 .
LCM of 844,777,879 is 192145884.
The greatest common factor of 35/844,839/777,514/879 = [GCF of 35,839,514]/[LCM of 844,777,879]= 1/192145884
Therefore, the GCF of 35/844,839/777,514/879 is 1/192145884.
To find the highest common factor of 35,839,514, we have to find the factors of both numbers and list the highest common factor.
The factors of 35 are 1, 5, 7, 35
The factors of 839 are 1, 839
The factors of 514 are 1, 2, 257, 514
The HCF of 35,839,514 is 1.
Lets's calculate GCF of 35,839,514
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 35
:1,5,7,35
Now, list down the factors of 839
:1,839
Now, list down the factors of 514
:1,2,257,514
Greatest Common Factor
We found the factors 35,839,514 . The biggest common factor number is the GCF number.
So the greatest common factor 35,839,514 is 1.
Lets's calculate LCM of 844,777,879
3 | 844, 777, 879 |
844, 259, 293 |
∴ So the LCM of the given numbers is 3 x 844 x 259 x 293 = 192145884
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/192145884
Therefore, the GCF of Fractions 35/844,839/777,514/879 is 1/192145884
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 844,777,879 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(844,777,879) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(844,777,879) x common factors =1 x 3 = 3
LCM(844,777,879) = ( 844 × 777 × 879 ) / 3
LCM(844,777,879) = 576437652 / 3
LCM(844,777,879) = 192145884
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 35,839,514?
The HCF of 35,839,514 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 35/844, 839/777, 514/879?
Answer: GCF of Numerators as per given numbers 35/844, 839/777, 514/879 is
GCF of Numerators i.e. for 35,839,514 is 1
LCM of denominators i.e. for 844,777,879 is 192145884.
Thus, GCF of Fractions is 1/192145884.Finally, GCF of Fractions for 35/844, 839/777, 514/879 is 1/192145884.