GCF of 9720/363, 8250/1013
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9720/363, 8250/1013 i.e 30/367719 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9720/363, 8250/1013.
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 9720/363,8250/1013?
Given fractions are 9720/363,8250/1013
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 9720/363,8250/1013, numerators are 9720,8250
Denominators are 363,1013
The GCF of 9720,8250 is 30 .
LCM of 363,1013 is 367719.
The greatest common factor of 9720/363,8250/1013 = [GCF of 9720,8250]/[LCM of 363,1013]= 30/367719
Therefore, the GCF of 9720/363,8250/1013 is 30/367719.
To find the highest common factor of 9720,8250, we have to find the factors of both numbers and list the highest common factor.
The factors of 9720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 81, 90, 108, 120, 135, 162, 180, 216, 243, 270, 324, 360, 405, 486, 540, 648, 810, 972, 1080, 1215, 1620, 1944, 2430, 3240, 4860, 9720
The factors of 8250 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 125, 150, 165, 250, 275, 330, 375, 550, 750, 825, 1375, 1650, 2750, 4125, 8250
The HCF of 9720,8250 is 30.
Lets's calculate GCF of 9720,8250
| 2 | 9720, 8250 |
| 3 | 4860, 4125 |
| 5 | 1620, 1375 |
| 324, 275 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 9720,8250 By Matching Biggest Common Factor Method
Now, list down the factors of 9720
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,27,30,36,40,45,54,60,72,81,90,108,120,135,162,180,216,243,270,324,360,405,486,540,648,810,972,1080,1215,1620,1944,2430,3240,4860,9720
Now, list down the factors of 8250
:1,2,3,5,6,10,11,15,22,25,30,33,50,55,66,75,110,125,150,165,250,275,330,375,550,750,825,1375,1650,2750,4125,8250
Greatest Common Factor
We found the factors 9720,8250 . The biggest common factor number is the GCF number.
So the greatest common factor 9720,8250 is 30.
Lets's calculate LCM of 363,1013
Given numbers has no common factors except 1. So, there LCM is their product i.e 367719
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/367719
Therefore, the GCF of Fractions 9720/363,8250/1013 is 30/367719
Least Common Multiple of 363,1013 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 363,1013 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(363,1013) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(363,1013) x common factors =1 x 1 = 1
LCM(363,1013) = ( 363 × 1013 ) / 1
LCM(363,1013) = 367719 / 1
LCM(363,1013) = 367719
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FAQs on GCF of Fractions of 9720/363, 8250/1013
1. What is the HCF of 9720,8250?
The HCF of 9720,8250 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 9720/363, 8250/1013?
Answer: GCF of Numerators as per given numbers 9720/363, 8250/1013 is
GCF of Numerators i.e. for 9720,8250 is 30
LCM of denominators i.e. for 363,1013 is 367719.
Thus, GCF of Fractions is 30/367719.Finally, GCF of Fractions for 9720/363, 8250/1013 is 30/367719.