GCF of 9660/506, 9959/385
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9660/506, 9959/385 i.e 23/17710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9660/506, 9959/385.
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 9660/506,9959/385?
Given fractions are 9660/506,9959/385
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 9660/506,9959/385, numerators are 9660,9959
Denominators are 506,385
The GCF of 9660,9959 is 23 .
LCM of 506,385 is 17710.
The greatest common factor of 9660/506,9959/385 = [GCF of 9660,9959]/[LCM of 506,385]= 23/17710
Therefore, the GCF of 9660/506,9959/385 is 23/17710.
To find the highest common factor of 9660,9959, we have to find the factors of both numbers and list the highest common factor.
The factors of 9660 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 23, 28, 30, 35, 42, 46, 60, 69, 70, 84, 92, 105, 115, 138, 140, 161, 210, 230, 276, 322, 345, 420, 460, 483, 644, 690, 805, 966, 1380, 1610, 1932, 2415, 3220, 4830, 9660
The factors of 9959 are 1, 23, 433, 9959
The HCF of 9660,9959 is 23.
Lets's calculate GCF of 9660,9959
| 23 | 9660, 9959 |
| 420, 433 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 9660,9959 By Matching Biggest Common Factor Method
Now, list down the factors of 9660
:1,2,3,4,5,6,7,10,12,14,15,20,21,23,28,30,35,42,46,60,69,70,84,92,105,115,138,140,161,210,230,276,322,345,420,460,483,644,690,805,966,1380,1610,1932,2415,3220,4830,9660
Now, list down the factors of 9959
:1,23,433,9959
Greatest Common Factor
We found the factors 9660,9959 . The biggest common factor number is the GCF number.
So the greatest common factor 9660,9959 is 23.
Lets's calculate LCM of 506,385
| 11 | 506, 385 |
| 46, 35 |
∴ So the LCM of the given numbers is 11 x 46 x 35 = 17710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/17710
Therefore, the GCF of Fractions 9660/506,9959/385 is 23/17710
Least Common Multiple of 506,385 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 506,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,385) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(506,385) x common factors =11 x 1 = 11
LCM(506,385) = ( 506 × 385 ) / 11
LCM(506,385) = 194810 / 11
LCM(506,385) = 17710
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FAQs on GCF of Fractions of 9660/506, 9959/385
1. What is the HCF of 9660,9959?
The HCF of 9660,9959 is 23
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 9660/506, 9959/385?
Answer: GCF of Numerators as per given numbers 9660/506, 9959/385 is
GCF of Numerators i.e. for 9660,9959 is 23
LCM of denominators i.e. for 506,385 is 17710.
Thus, GCF of Fractions is 23/17710.Finally, GCF of Fractions for 9660/506, 9959/385 is 23/17710.