Use our free GCF of Fractions Calculator tool to compute the GCF of 920/834, 963/519 i.e 1/144282 easily. The following is the detailed procedure to determine the greatest common factor of fractions 920/834, 963/519.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 920/834,963/519
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 920/834,963/519, numerators are 920,963
Denominators are 834,519
The GCF of 920,963 is 1 .
LCM of 834,519 is 144282.
The greatest common factor of 920/834,963/519 = [GCF of 920,963]/[LCM of 834,519]= 1/144282
Therefore, the GCF of 920/834,963/519 is 1/144282.
To find the highest common factor of 920,963, we have to find the factors of both numbers and list the highest common factor.
The factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
The factors of 963 are 1, 3, 9, 107, 321, 963
The HCF of 920,963 is 1.
Lets's calculate GCF of 920,963
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 920
:1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Now, list down the factors of 963
:1,3,9,107,321,963
Greatest Common Factor
We found the factors 920,963 . The biggest common factor number is the GCF number.
So the greatest common factor 920,963 is 1.
Lets's calculate LCM of 834,519
3 | 834, 519 |
278, 173 |
∴ So the LCM of the given numbers is 3 x 278 x 173 = 144282
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144282
Therefore, the GCF of Fractions 920/834,963/519 is 1/144282
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 834,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(834,519) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(834,519) x common factors =3 x 1 = 3
LCM(834,519) = ( 834 × 519 ) / 3
LCM(834,519) = 432846 / 3
LCM(834,519) = 144282
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 920,963?
The HCF of 920,963 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 920/834, 963/519?
Answer: GCF of Numerators as per given numbers 920/834, 963/519 is
GCF of Numerators i.e. for 920,963 is 1
LCM of denominators i.e. for 834,519 is 144282.
Thus, GCF of Fractions is 1/144282.Finally, GCF of Fractions for 920/834, 963/519 is 1/144282.