Use our free GCF of Fractions Calculator tool to compute the GCF of 460/484, 779/927 i.e 1/448668 easily. The following is the detailed procedure to determine the greatest common factor of fractions 460/484, 779/927.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 460/484,779/927
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 460/484,779/927, numerators are 460,779
Denominators are 484,927
The GCF of 460,779 is 1 .
LCM of 484,927 is 448668.
The greatest common factor of 460/484,779/927 = [GCF of 460,779]/[LCM of 484,927]= 1/448668
Therefore, the GCF of 460/484,779/927 is 1/448668.
To find the highest common factor of 460,779, we have to find the factors of both numbers and list the highest common factor.
The factors of 460 are 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
The factors of 779 are 1, 19, 41, 779
The HCF of 460,779 is 1.
Lets's calculate GCF of 460,779
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 460
:1,2,4,5,10,20,23,46,92,115,230,460
Now, list down the factors of 779
:1,19,41,779
Greatest Common Factor
We found the factors 460,779 . The biggest common factor number is the GCF number.
So the greatest common factor 460,779 is 1.
Lets's calculate LCM of 484,927
Given numbers has no common factors except 1. So, there LCM is their product i.e 448668
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/448668
Therefore, the GCF of Fractions 460/484,779/927 is 1/448668
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 484,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(484,927) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(484,927) x common factors =1 x 1 = 1
LCM(484,927) = ( 484 × 927 ) / 1
LCM(484,927) = 448668 / 1
LCM(484,927) = 448668
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 460,779?
The HCF of 460,779 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 460/484, 779/927?
Answer: GCF of Numerators as per given numbers 460/484, 779/927 is
GCF of Numerators i.e. for 460,779 is 1
LCM of denominators i.e. for 484,927 is 448668.
Thus, GCF of Fractions is 1/448668.Finally, GCF of Fractions for 460/484, 779/927 is 1/448668.