GCF of 9520/978, 4092/4320
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9520/978, 4092/4320 i.e 4/704160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9520/978, 4092/4320.
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 9520/978,4092/4320?
Given fractions are 9520/978,4092/4320
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 9520/978,4092/4320, numerators are 9520,4092
Denominators are 978,4320
The GCF of 9520,4092 is 4 .
LCM of 978,4320 is 704160.
The greatest common factor of 9520/978,4092/4320 = [GCF of 9520,4092]/[LCM of 978,4320]= 4/704160
Therefore, the GCF of 9520/978,4092/4320 is 4/704160.
To find the highest common factor of 9520,4092, we have to find the factors of both numbers and list the highest common factor.
The factors of 9520 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 28, 34, 35, 40, 56, 68, 70, 80, 85, 112, 119, 136, 140, 170, 238, 272, 280, 340, 476, 560, 595, 680, 952, 1190, 1360, 1904, 2380, 4760, 9520
The factors of 4092 are 1, 2, 3, 4, 6, 11, 12, 22, 31, 33, 44, 62, 66, 93, 124, 132, 186, 341, 372, 682, 1023, 1364, 2046, 4092
The HCF of 9520,4092 is 4.
Lets's calculate GCF of 9520,4092
| 2 | 9520, 4092 |
| 2 | 4760, 2046 |
| 2380, 1023 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9520,4092 By Matching Biggest Common Factor Method
Now, list down the factors of 9520
:1,2,4,5,7,8,10,14,16,17,20,28,34,35,40,56,68,70,80,85,112,119,136,140,170,238,272,280,340,476,560,595,680,952,1190,1360,1904,2380,4760,9520
Now, list down the factors of 4092
:1,2,3,4,6,11,12,22,31,33,44,62,66,93,124,132,186,341,372,682,1023,1364,2046,4092
Greatest Common Factor
We found the factors 9520,4092 . The biggest common factor number is the GCF number.
So the greatest common factor 9520,4092 is 4.
Lets's calculate LCM of 978,4320
| 2 | 978, 4320 |
| 3 | 489, 2160 |
| 163, 720 |
∴ So the LCM of the given numbers is 2 x 3 x 163 x 720 = 704160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/704160
Therefore, the GCF of Fractions 9520/978,4092/4320 is 4/704160
Least Common Multiple of 978,4320 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 978,4320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,4320) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(978,4320) x common factors =6 x 1 = 6
LCM(978,4320) = ( 978 × 4320 ) / 6
LCM(978,4320) = 4224960 / 6
LCM(978,4320) = 704160
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9520/978, 4092/4320
1. What is the HCF of 9520,4092?
The HCF of 9520,4092 is 4
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 9520/978, 4092/4320?
Answer: GCF of Numerators as per given numbers 9520/978, 4092/4320 is
GCF of Numerators i.e. for 9520,4092 is 4
LCM of denominators i.e. for 978,4320 is 704160.
Thus, GCF of Fractions is 4/704160.Finally, GCF of Fractions for 9520/978, 4092/4320 is 4/704160.