GCF of 7520/715, 9520/4692
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7520/715, 9520/4692 i.e 80/3354780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7520/715, 9520/4692.
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 7520/715,9520/4692?
Given fractions are 7520/715,9520/4692
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 7520/715,9520/4692, numerators are 7520,9520
Denominators are 715,4692
The GCF of 7520,9520 is 80 .
LCM of 715,4692 is 3354780.
The greatest common factor of 7520/715,9520/4692 = [GCF of 7520,9520]/[LCM of 715,4692]= 80/3354780
Therefore, the GCF of 7520/715,9520/4692 is 80/3354780.
To find the highest common factor of 7520,9520, we have to find the factors of both numbers and list the highest common factor.
The factors of 7520 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 47, 80, 94, 160, 188, 235, 376, 470, 752, 940, 1504, 1880, 3760, 7520
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 HCF of 7520,9520 is 80.
Lets's calculate GCF of 7520,9520
| 2 | 7520, 9520 |
| 2 | 3760, 4760 |
| 2 | 1880, 2380 |
| 2 | 940, 1190 |
| 5 | 470, 595 |
| 94, 119 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 5 = 80
Greatest Common Factor of 7520,9520 By Matching Biggest Common Factor Method
Now, list down the factors of 7520
:1,2,4,5,8,10,16,20,32,40,47,80,94,160,188,235,376,470,752,940,1504,1880,3760,7520
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
Greatest Common Factor
We found the factors 7520,9520 . The biggest common factor number is the GCF number.
So the greatest common factor 7520,9520 is 80.
Lets's calculate LCM of 715,4692
Given numbers has no common factors except 1. So, there LCM is their product i.e 3354780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 80/3354780
Therefore, the GCF of Fractions 7520/715,9520/4692 is 80/3354780
Least Common Multiple of 715,4692 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 715,4692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,4692) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(715,4692) x common factors =1 x 1 = 1
LCM(715,4692) = ( 715 × 4692 ) / 1
LCM(715,4692) = 3354780 / 1
LCM(715,4692) = 3354780
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FAQs on GCF of Fractions of 7520/715, 9520/4692
1. What is the HCF of 7520,9520?
The HCF of 7520,9520 is 80
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 7520/715, 9520/4692?
Answer: GCF of Numerators as per given numbers 7520/715, 9520/4692 is
GCF of Numerators i.e. for 7520,9520 is 80
LCM of denominators i.e. for 715,4692 is 3354780.
Thus, GCF of Fractions is 80/3354780.Finally, GCF of Fractions for 7520/715, 9520/4692 is 80/3354780.