GCF of 9520/872, 7160/8325
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9520/872, 7160/8325 i.e 40/7259400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9520/872, 7160/8325.
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 9520/872,7160/8325?
Given fractions are 9520/872,7160/8325
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 9520/872,7160/8325, numerators are 9520,7160
Denominators are 872,8325
The GCF of 9520,7160 is 40 .
LCM of 872,8325 is 7259400.
The greatest common factor of 9520/872,7160/8325 = [GCF of 9520,7160]/[LCM of 872,8325]= 40/7259400
Therefore, the GCF of 9520/872,7160/8325 is 40/7259400.
To find the highest common factor of 9520,7160, 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 7160 are 1, 2, 4, 5, 8, 10, 20, 40, 179, 358, 716, 895, 1432, 1790, 3580, 7160
The HCF of 9520,7160 is 40.
Lets's calculate GCF of 9520,7160
| 2 | 9520, 7160 |
| 2 | 4760, 3580 |
| 2 | 2380, 1790 |
| 5 | 1190, 895 |
| 238, 179 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40
Greatest Common Factor of 9520,7160 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 7160
:1,2,4,5,8,10,20,40,179,358,716,895,1432,1790,3580,7160
Greatest Common Factor
We found the factors 9520,7160 . The biggest common factor number is the GCF number.
So the greatest common factor 9520,7160 is 40.
Lets's calculate LCM of 872,8325
Given numbers has no common factors except 1. So, there LCM is their product i.e 7259400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/7259400
Therefore, the GCF of Fractions 9520/872,7160/8325 is 40/7259400
Least Common Multiple of 872,8325 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 872,8325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,8325) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(872,8325) x common factors =1 x 1 = 1
LCM(872,8325) = ( 872 × 8325 ) / 1
LCM(872,8325) = 7259400 / 1
LCM(872,8325) = 7259400
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 9520/872, 7160/8325
1. What is the HCF of 9520,7160?
The HCF of 9520,7160 is 40
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 9520/872, 7160/8325?
Answer: GCF of Numerators as per given numbers 9520/872, 7160/8325 is
GCF of Numerators i.e. for 9520,7160 is 40
LCM of denominators i.e. for 872,8325 is 7259400.
Thus, GCF of Fractions is 40/7259400.Finally, GCF of Fractions for 9520/872, 7160/8325 is 40/7259400.