Use our free GCF of Fractions Calculator tool to compute the GCF of 976/682, 120/848 i.e 8/289168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 976/682, 120/848.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 976/682,120/848
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 976/682,120/848, numerators are 976,120
Denominators are 682,848
The GCF of 976,120 is 8 .
LCM of 682,848 is 289168.
The greatest common factor of 976/682,120/848 = [GCF of 976,120]/[LCM of 682,848]= 8/289168
Therefore, the GCF of 976/682,120/848 is 8/289168.
To find the highest common factor of 976,120, 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 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
The HCF of 976,120 is 8.
Lets's calculate GCF of 976,120
2 | 976, 120 |
2 | 488, 60 |
2 | 244, 30 |
122, 15 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Now, list down the factors of 976
:1,2,4,8,16,61,122,244,488,976
Now, list down the factors of 120
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Greatest Common Factor
We found the factors 976,120 . The biggest common factor number is the GCF number.
So the greatest common factor 976,120 is 8.
Lets's calculate LCM of 682,848
2 | 682, 848 |
341, 424 |
∴ So the LCM of the given numbers is 2 x 341 x 424 = 289168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/289168
Therefore, the GCF of Fractions 976/682,120/848 is 8/289168
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 682,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,848) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(682,848) x common factors =2 x 1 = 2
LCM(682,848) = ( 682 × 848 ) / 2
LCM(682,848) = 578336 / 2
LCM(682,848) = 289168
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 976,120?
The HCF of 976,120 is 8
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 976/682, 120/848?
Answer: GCF of Numerators as per given numbers 976/682, 120/848 is
GCF of Numerators i.e. for 976,120 is 8
LCM of denominators i.e. for 682,848 is 289168.
Thus, GCF of Fractions is 8/289168.Finally, GCF of Fractions for 976/682, 120/848 is 8/289168.