GCF of 9480/591, 8255/3300
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9480/591, 8255/3300 i.e 5/650100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9480/591, 8255/3300.
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 9480/591,8255/3300?
Given fractions are 9480/591,8255/3300
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 9480/591,8255/3300, numerators are 9480,8255
Denominators are 591,3300
The GCF of 9480,8255 is 5 .
LCM of 591,3300 is 650100.
The greatest common factor of 9480/591,8255/3300 = [GCF of 9480,8255]/[LCM of 591,3300]= 5/650100
Therefore, the GCF of 9480/591,8255/3300 is 5/650100.
To find the highest common factor of 9480,8255, we have to find the factors of both numbers and list the highest common factor.
The factors of 9480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 79, 120, 158, 237, 316, 395, 474, 632, 790, 948, 1185, 1580, 1896, 2370, 3160, 4740, 9480
The factors of 8255 are 1, 5, 13, 65, 127, 635, 1651, 8255
The HCF of 9480,8255 is 5.
Lets's calculate GCF of 9480,8255
| 5 | 9480, 8255 |
| 1896, 1651 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9480,8255 By Matching Biggest Common Factor Method
Now, list down the factors of 9480
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,79,120,158,237,316,395,474,632,790,948,1185,1580,1896,2370,3160,4740,9480
Now, list down the factors of 8255
:1,5,13,65,127,635,1651,8255
Greatest Common Factor
We found the factors 9480,8255 . The biggest common factor number is the GCF number.
So the greatest common factor 9480,8255 is 5.
Lets's calculate LCM of 591,3300
| 3 | 591, 3300 |
| 197, 1100 |
∴ So the LCM of the given numbers is 3 x 197 x 1100 = 650100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/650100
Therefore, the GCF of Fractions 9480/591,8255/3300 is 5/650100
Least Common Multiple of 591,3300 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 591,3300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(591,3300) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(591,3300) x common factors =3 x 1 = 3
LCM(591,3300) = ( 591 × 3300 ) / 3
LCM(591,3300) = 1950300 / 3
LCM(591,3300) = 650100
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FAQs on GCF of Fractions of 9480/591, 8255/3300
1. What is the HCF of 9480,8255?
The HCF of 9480,8255 is 5
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 9480/591, 8255/3300?
Answer: GCF of Numerators as per given numbers 9480/591, 8255/3300 is
GCF of Numerators i.e. for 9480,8255 is 5
LCM of denominators i.e. for 591,3300 is 650100.
Thus, GCF of Fractions is 5/650100.Finally, GCF of Fractions for 9480/591, 8255/3300 is 5/650100.