Use our free GCF of Fractions Calculator tool to compute the GCF of 976/827, 512/291 i.e 16/240657 easily. The following is the detailed procedure to determine the greatest common factor of fractions 976/827, 512/291.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 976/827,512/291
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 976/827,512/291, numerators are 976,512
Denominators are 827,291
The GCF of 976,512 is 16 .
LCM of 827,291 is 240657.
The greatest common factor of 976/827,512/291 = [GCF of 976,512]/[LCM of 827,291]= 16/240657
Therefore, the GCF of 976/827,512/291 is 16/240657.
To find the highest common factor of 976,512, we have to find the factors of both numbers and list the highest common factor.
The factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
The factors of 512 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
The HCF of 976,512 is 16.
Lets's calculate GCF of 976,512
2 | 976, 512 |
2 | 488, 256 |
2 | 244, 128 |
2 | 122, 64 |
61, 32 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Now, list down the factors of 976
:1,2,4,8,16,61,122,244,488,976
Now, list down the factors of 512
:1,2,4,8,16,32,64,128,256,512
Greatest Common Factor
We found the factors 976,512 . The biggest common factor number is the GCF number.
So the greatest common factor 976,512 is 16.
Lets's calculate LCM of 827,291
Given numbers has no common factors except 1. So, there LCM is their product i.e 240657
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/240657
Therefore, the GCF of Fractions 976/827,512/291 is 16/240657
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 827,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,291) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,291) x common factors =1 x 1 = 1
LCM(827,291) = ( 827 × 291 ) / 1
LCM(827,291) = 240657 / 1
LCM(827,291) = 240657
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 976,512?
The HCF of 976,512 is 16
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 976/827, 512/291?
Answer: GCF of Numerators as per given numbers 976/827, 512/291 is
GCF of Numerators i.e. for 976,512 is 16
LCM of denominators i.e. for 827,291 is 240657.
Thus, GCF of Fractions is 16/240657.Finally, GCF of Fractions for 976/827, 512/291 is 16/240657.