GCF of 9150/340, 8880/6535
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9150/340, 8880/6535 i.e 30/444380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9150/340, 8880/6535.
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 9150/340,8880/6535?
Given fractions are 9150/340,8880/6535
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 9150/340,8880/6535, numerators are 9150,8880
Denominators are 340,6535
The GCF of 9150,8880 is 30 .
LCM of 340,6535 is 444380.
The greatest common factor of 9150/340,8880/6535 = [GCF of 9150,8880]/[LCM of 340,6535]= 30/444380
Therefore, the GCF of 9150/340,8880/6535 is 30/444380.
To find the highest common factor of 9150,8880, we have to find the factors of both numbers and list the highest common factor.
The factors of 9150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 61, 75, 122, 150, 183, 305, 366, 610, 915, 1525, 1830, 3050, 4575, 9150
The factors of 8880 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 37, 40, 48, 60, 74, 80, 111, 120, 148, 185, 222, 240, 296, 370, 444, 555, 592, 740, 888, 1110, 1480, 1776, 2220, 2960, 4440, 8880
The HCF of 9150,8880 is 30.
Lets's calculate GCF of 9150,8880
| 2 | 9150, 8880 |
| 3 | 4575, 4440 |
| 5 | 1525, 1480 |
| 305, 296 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 9150,8880 By Matching Biggest Common Factor Method
Now, list down the factors of 9150
:1,2,3,5,6,10,15,25,30,50,61,75,122,150,183,305,366,610,915,1525,1830,3050,4575,9150
Now, list down the factors of 8880
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,37,40,48,60,74,80,111,120,148,185,222,240,296,370,444,555,592,740,888,1110,1480,1776,2220,2960,4440,8880
Greatest Common Factor
We found the factors 9150,8880 . The biggest common factor number is the GCF number.
So the greatest common factor 9150,8880 is 30.
Lets's calculate LCM of 340,6535
| 5 | 340, 6535 |
| 68, 1307 |
∴ So the LCM of the given numbers is 5 x 68 x 1307 = 444380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/444380
Therefore, the GCF of Fractions 9150/340,8880/6535 is 30/444380
Least Common Multiple of 340,6535 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 340,6535 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,6535) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(340,6535) x common factors =5 x 1 = 5
LCM(340,6535) = ( 340 × 6535 ) / 5
LCM(340,6535) = 2221900 / 5
LCM(340,6535) = 444380
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FAQs on GCF of Fractions of 9150/340, 8880/6535
1. What is the HCF of 9150,8880?
The HCF of 9150,8880 is 30
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 9150/340, 8880/6535?
Answer: GCF of Numerators as per given numbers 9150/340, 8880/6535 is
GCF of Numerators i.e. for 9150,8880 is 30
LCM of denominators i.e. for 340,6535 is 444380.
Thus, GCF of Fractions is 30/444380.Finally, GCF of Fractions for 9150/340, 8880/6535 is 30/444380.