Use our free GCF of Fractions Calculator tool to compute the GCF of 9960/892, 2150/2789 i.e 10/2487788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9960/892, 2150/2789.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9960/892,2150/2789
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 9960/892,2150/2789, numerators are 9960,2150
Denominators are 892,2789
The GCF of 9960,2150 is 10 .
LCM of 892,2789 is 2487788.
The greatest common factor of 9960/892,2150/2789 = [GCF of 9960,2150]/[LCM of 892,2789]= 10/2487788
Therefore, the GCF of 9960/892,2150/2789 is 10/2487788.
To find the highest common factor of 9960,2150, we have to find the factors of both numbers and list the highest common factor.
The factors of 9960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 83, 120, 166, 249, 332, 415, 498, 664, 830, 996, 1245, 1660, 1992, 2490, 3320, 4980, 9960
The factors of 2150 are 1, 2, 5, 10, 25, 43, 50, 86, 215, 430, 1075, 2150
The HCF of 9960,2150 is 10.
Lets's calculate GCF of 9960,2150
2 | 9960, 2150 |
5 | 4980, 1075 |
996, 215 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Now, list down the factors of 9960
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,83,120,166,249,332,415,498,664,830,996,1245,1660,1992,2490,3320,4980,9960
Now, list down the factors of 2150
:1,2,5,10,25,43,50,86,215,430,1075,2150
Greatest Common Factor
We found the factors 9960,2150 . The biggest common factor number is the GCF number.
So the greatest common factor 9960,2150 is 10.
Lets's calculate LCM of 892,2789
Given numbers has no common factors except 1. So, there LCM is their product i.e 2487788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2487788
Therefore, the GCF of Fractions 9960/892,2150/2789 is 10/2487788
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 892,2789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,2789) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(892,2789) x common factors =1 x 1 = 1
LCM(892,2789) = ( 892 × 2789 ) / 1
LCM(892,2789) = 2487788 / 1
LCM(892,2789) = 2487788
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9960,2150?
The HCF of 9960,2150 is 10
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 9960/892, 2150/2789?
Answer: GCF of Numerators as per given numbers 9960/892, 2150/2789 is
GCF of Numerators i.e. for 9960,2150 is 10
LCM of denominators i.e. for 892,2789 is 2487788.
Thus, GCF of Fractions is 10/2487788.Finally, GCF of Fractions for 9960/892, 2150/2789 is 10/2487788.