GCF of 9972/384, 3120/3088
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9972/384, 3120/3088 i.e 12/74112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9972/384, 3120/3088.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 9972/384,3120/3088?
Given fractions are 9972/384,3120/3088
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 9972/384,3120/3088, numerators are 9972,3120
Denominators are 384,3088
The GCF of 9972,3120 is 12 .
LCM of 384,3088 is 74112.
The greatest common factor of 9972/384,3120/3088 = [GCF of 9972,3120]/[LCM of 384,3088]= 12/74112
Therefore, the GCF of 9972/384,3120/3088 is 12/74112.
To find the highest common factor of 9972,3120, we have to find the factors of both numbers and list the highest common factor.
The factors of 9972 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 277, 554, 831, 1108, 1662, 2493, 3324, 4986, 9972
The factors of 3120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 39, 40, 48, 52, 60, 65, 78, 80, 104, 120, 130, 156, 195, 208, 240, 260, 312, 390, 520, 624, 780, 1040, 1560, 3120
The HCF of 9972,3120 is 12.
Lets's calculate GCF of 9972,3120
| 2 | 9972, 3120 |
| 2 | 4986, 1560 |
| 3 | 2493, 780 |
| 831, 260 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 9972,3120 By Matching Biggest Common Factor Method
Now, list down the factors of 9972
:1,2,3,4,6,9,12,18,36,277,554,831,1108,1662,2493,3324,4986,9972
Now, list down the factors of 3120
:1,2,3,4,5,6,8,10,12,13,15,16,20,24,26,30,39,40,48,52,60,65,78,80,104,120,130,156,195,208,240,260,312,390,520,624,780,1040,1560,3120
Greatest Common Factor
We found the factors 9972,3120 . The biggest common factor number is the GCF number.
So the greatest common factor 9972,3120 is 12.
Lets's calculate LCM of 384,3088
| 2 | 384, 3088 |
| 2 | 192, 1544 |
| 2 | 96, 772 |
| 2 | 48, 386 |
| 24, 193 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 24 x 193 = 74112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/74112
Therefore, the GCF of Fractions 9972/384,3120/3088 is 12/74112
Least Common Multiple of 384,3088 with GCF Formula
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 384,3088 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(384,3088) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(384,3088) x common factors =16 x 1 = 16
LCM(384,3088) = ( 384 × 3088 ) / 16
LCM(384,3088) = 1185792 / 16
LCM(384,3088) = 74112
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9972/384, 3120/3088
1. What is the HCF of 9972,3120?
The HCF of 9972,3120 is 12
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 9972/384, 3120/3088?
Answer: GCF of Numerators as per given numbers 9972/384, 3120/3088 is
GCF of Numerators i.e. for 9972,3120 is 12
LCM of denominators i.e. for 384,3088 is 74112.
Thus, GCF of Fractions is 12/74112.Finally, GCF of Fractions for 9972/384, 3120/3088 is 12/74112.