Use our free GCF of Fractions Calculator tool to compute the GCF of 951/820, 960/845 i.e 3/138580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 951/820, 960/845.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 951/820,960/845
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 951/820,960/845, numerators are 951,960
Denominators are 820,845
The GCF of 951,960 is 3 .
LCM of 820,845 is 138580.
The greatest common factor of 951/820,960/845 = [GCF of 951,960]/[LCM of 820,845]= 3/138580
Therefore, the GCF of 951/820,960/845 is 3/138580.
To find the highest common factor of 951,960, we have to find the factors of both numbers and list the highest common factor.
The factors of 951 are 1, 3, 317, 951
The factors of 960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
The HCF of 951,960 is 3.
Lets's calculate GCF of 951,960
3 | 951, 960 |
317, 320 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 951
:1,3,317,951
Now, list down the factors of 960
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960
Greatest Common Factor
We found the factors 951,960 . The biggest common factor number is the GCF number.
So the greatest common factor 951,960 is 3.
Lets's calculate LCM of 820,845
5 | 820, 845 |
164, 169 |
∴ So the LCM of the given numbers is 5 x 164 x 169 = 138580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/138580
Therefore, the GCF of Fractions 951/820,960/845 is 3/138580
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 820,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(820,845) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(820,845) x common factors =5 x 1 = 5
LCM(820,845) = ( 820 × 845 ) / 5
LCM(820,845) = 692900 / 5
LCM(820,845) = 138580
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 951,960?
The HCF of 951,960 is 3
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 951/820, 960/845?
Answer: GCF of Numerators as per given numbers 951/820, 960/845 is
GCF of Numerators i.e. for 951,960 is 3
LCM of denominators i.e. for 820,845 is 138580.
Thus, GCF of Fractions is 3/138580.Finally, GCF of Fractions for 951/820, 960/845 is 3/138580.