GCF of 6589/748, 8568/8454
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6589/748, 8568/8454 i.e 1/3161796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6589/748, 8568/8454.
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 6589/748,8568/8454?
Given fractions are 6589/748,8568/8454
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 6589/748,8568/8454, numerators are 6589,8568
Denominators are 748,8454
The GCF of 6589,8568 is 1 .
LCM of 748,8454 is 3161796.
The greatest common factor of 6589/748,8568/8454 = [GCF of 6589,8568]/[LCM of 748,8454]= 1/3161796
Therefore, the GCF of 6589/748,8568/8454 is 1/3161796.
To find the highest common factor of 6589,8568, we have to find the factors of both numbers and list the highest common factor.
The factors of 6589 are 1, 11, 599, 6589
The factors of 8568 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 17, 18, 21, 24, 28, 34, 36, 42, 51, 56, 63, 68, 72, 84, 102, 119, 126, 136, 153, 168, 204, 238, 252, 306, 357, 408, 476, 504, 612, 714, 952, 1071, 1224, 1428, 2142, 2856, 4284, 8568
The HCF of 6589,8568 is 1.
Lets's calculate GCF of 6589,8568
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6589,8568 By Matching Biggest Common Factor Method
Now, list down the factors of 6589
:1,11,599,6589
Now, list down the factors of 8568
:1,2,3,4,6,7,8,9,12,14,17,18,21,24,28,34,36,42,51,56,63,68,72,84,102,119,126,136,153,168,204,238,252,306,357,408,476,504,612,714,952,1071,1224,1428,2142,2856,4284,8568
Greatest Common Factor
We found the factors 6589,8568 . The biggest common factor number is the GCF number.
So the greatest common factor 6589,8568 is 1.
Lets's calculate LCM of 748,8454
| 2 | 748, 8454 |
| 374, 4227 |
∴ So the LCM of the given numbers is 2 x 374 x 4227 = 3161796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3161796
Therefore, the GCF of Fractions 6589/748,8568/8454 is 1/3161796
Least Common Multiple of 748,8454 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 748,8454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(748,8454) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(748,8454) x common factors =2 x 1 = 2
LCM(748,8454) = ( 748 × 8454 ) / 2
LCM(748,8454) = 6323592 / 2
LCM(748,8454) = 3161796
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FAQs on GCF of Fractions of 6589/748, 8568/8454
1. What is the HCF of 6589,8568?
The HCF of 6589,8568 is 1
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 6589/748, 8568/8454?
Answer: GCF of Numerators as per given numbers 6589/748, 8568/8454 is
GCF of Numerators i.e. for 6589,8568 is 1
LCM of denominators i.e. for 748,8454 is 3161796.
Thus, GCF of Fractions is 1/3161796.Finally, GCF of Fractions for 6589/748, 8568/8454 is 1/3161796.