GCF of 9880/585, 9500/7932
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9880/585, 9500/7932 i.e 380/1546740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9880/585, 9500/7932.
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 9880/585,9500/7932?
Given fractions are 9880/585,9500/7932
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 9880/585,9500/7932, numerators are 9880,9500
Denominators are 585,7932
The GCF of 9880,9500 is 380 .
LCM of 585,7932 is 1546740.
The greatest common factor of 9880/585,9500/7932 = [GCF of 9880,9500]/[LCM of 585,7932]= 380/1546740
Therefore, the GCF of 9880/585,9500/7932 is 380/1546740.
To find the highest common factor of 9880,9500, we have to find the factors of both numbers and list the highest common factor.
The factors of 9880 are 1, 2, 4, 5, 8, 10, 13, 19, 20, 26, 38, 40, 52, 65, 76, 95, 104, 130, 152, 190, 247, 260, 380, 494, 520, 760, 988, 1235, 1976, 2470, 4940, 9880
The factors of 9500 are 1, 2, 4, 5, 10, 19, 20, 25, 38, 50, 76, 95, 100, 125, 190, 250, 380, 475, 500, 950, 1900, 2375, 4750, 9500
The HCF of 9880,9500 is 380.
Lets's calculate GCF of 9880,9500
| 2 | 9880, 9500 |
| 2 | 4940, 4750 |
| 5 | 2470, 2375 |
| 19 | 494, 475 |
| 26, 25 |
∴ So the GCF of the given numbers is 2 x 2 x 5 x 19 = 380
Greatest Common Factor of 9880,9500 By Matching Biggest Common Factor Method
Now, list down the factors of 9880
:1,2,4,5,8,10,13,19,20,26,38,40,52,65,76,95,104,130,152,190,247,260,380,494,520,760,988,1235,1976,2470,4940,9880
Now, list down the factors of 9500
:1,2,4,5,10,19,20,25,38,50,76,95,100,125,190,250,380,475,500,950,1900,2375,4750,9500
Greatest Common Factor
We found the factors 9880,9500 . The biggest common factor number is the GCF number.
So the greatest common factor 9880,9500 is 380.
Lets's calculate LCM of 585,7932
| 3 | 585, 7932 |
| 195, 2644 |
∴ So the LCM of the given numbers is 3 x 195 x 2644 = 1546740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 380/1546740
Therefore, the GCF of Fractions 9880/585,9500/7932 is 380/1546740
Least Common Multiple of 585,7932 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 585,7932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,7932) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(585,7932) x common factors =3 x 1 = 3
LCM(585,7932) = ( 585 × 7932 ) / 3
LCM(585,7932) = 4640220 / 3
LCM(585,7932) = 1546740
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 9880/585, 9500/7932
1. What is the HCF of 9880,9500?
The HCF of 9880,9500 is 380
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 9880/585, 9500/7932?
Answer: GCF of Numerators as per given numbers 9880/585, 9500/7932 is
GCF of Numerators i.e. for 9880,9500 is 380
LCM of denominators i.e. for 585,7932 is 1546740.
Thus, GCF of Fractions is 380/1546740.Finally, GCF of Fractions for 9880/585, 9500/7932 is 380/1546740.