GCF of 2568/413, 9880/1817
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2568/413, 9880/1817 i.e 8/750421 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2568/413, 9880/1817.
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 2568/413,9880/1817?
Given fractions are 2568/413,9880/1817
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 2568/413,9880/1817, numerators are 2568,9880
Denominators are 413,1817
The GCF of 2568,9880 is 8 .
LCM of 413,1817 is 750421.
The greatest common factor of 2568/413,9880/1817 = [GCF of 2568,9880]/[LCM of 413,1817]= 8/750421
Therefore, the GCF of 2568/413,9880/1817 is 8/750421.
To find the highest common factor of 2568,9880, we have to find the factors of both numbers and list the highest common factor.
The factors of 2568 are 1, 2, 3, 4, 6, 8, 12, 24, 107, 214, 321, 428, 642, 856, 1284, 2568
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 HCF of 2568,9880 is 8.
Lets's calculate GCF of 2568,9880
| 2 | 2568, 9880 |
| 2 | 1284, 4940 |
| 2 | 642, 2470 |
| 321, 1235 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 2568,9880 By Matching Biggest Common Factor Method
Now, list down the factors of 2568
:1,2,3,4,6,8,12,24,107,214,321,428,642,856,1284,2568
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
Greatest Common Factor
We found the factors 2568,9880 . The biggest common factor number is the GCF number.
So the greatest common factor 2568,9880 is 8.
Lets's calculate LCM of 413,1817
Given numbers has no common factors except 1. So, there LCM is their product i.e 750421
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/750421
Therefore, the GCF of Fractions 2568/413,9880/1817 is 8/750421
Least Common Multiple of 413,1817 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 413,1817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(413,1817) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(413,1817) x common factors =1 x 1 = 1
LCM(413,1817) = ( 413 × 1817 ) / 1
LCM(413,1817) = 750421 / 1
LCM(413,1817) = 750421
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FAQs on GCF of Fractions of 2568/413, 9880/1817
1. What is the HCF of 2568,9880?
The HCF of 2568,9880 is 8
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 2568/413, 9880/1817?
Answer: GCF of Numerators as per given numbers 2568/413, 9880/1817 is
GCF of Numerators i.e. for 2568,9880 is 8
LCM of denominators i.e. for 413,1817 is 750421.
Thus, GCF of Fractions is 8/750421.Finally, GCF of Fractions for 2568/413, 9880/1817 is 8/750421.