GCF of 9880/382, 8905/924
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9880/382, 8905/924 i.e 65/176484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9880/382, 8905/924.
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 9880/382,8905/924?
Given fractions are 9880/382,8905/924
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 9880/382,8905/924, numerators are 9880,8905
Denominators are 382,924
The GCF of 9880,8905 is 65 .
LCM of 382,924 is 176484.
The greatest common factor of 9880/382,8905/924 = [GCF of 9880,8905]/[LCM of 382,924]= 65/176484
Therefore, the GCF of 9880/382,8905/924 is 65/176484.
To find the highest common factor of 9880,8905, 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 8905 are 1, 5, 13, 65, 137, 685, 1781, 8905
The HCF of 9880,8905 is 65.
Lets's calculate GCF of 9880,8905
| 5 | 9880, 8905 |
| 13 | 1976, 1781 |
| 152, 137 |
∴ So the GCF of the given numbers is 5 x 13 = 65
Greatest Common Factor of 9880,8905 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 8905
:1,5,13,65,137,685,1781,8905
Greatest Common Factor
We found the factors 9880,8905 . The biggest common factor number is the GCF number.
So the greatest common factor 9880,8905 is 65.
Lets's calculate LCM of 382,924
| 2 | 382, 924 |
| 191, 462 |
∴ So the LCM of the given numbers is 2 x 191 x 462 = 176484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 65/176484
Therefore, the GCF of Fractions 9880/382,8905/924 is 65/176484
Least Common Multiple of 382,924 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 382,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(382,924) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(382,924) x common factors =2 x 1 = 2
LCM(382,924) = ( 382 × 924 ) / 2
LCM(382,924) = 352968 / 2
LCM(382,924) = 176484
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FAQs on GCF of Fractions of 9880/382, 8905/924
1. What is the HCF of 9880,8905?
The HCF of 9880,8905 is 65
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 9880/382, 8905/924?
Answer: GCF of Numerators as per given numbers 9880/382, 8905/924 is
GCF of Numerators i.e. for 9880,8905 is 65
LCM of denominators i.e. for 382,924 is 176484.
Thus, GCF of Fractions is 65/176484.Finally, GCF of Fractions for 9880/382, 8905/924 is 65/176484.