GCF of 610/440, 8568/769
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 610/440, 8568/769 i.e 2/338360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 610/440, 8568/769.
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 610/440,8568/769?
Given fractions are 610/440,8568/769
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 610/440,8568/769, numerators are 610,8568
Denominators are 440,769
The GCF of 610,8568 is 2 .
LCM of 440,769 is 338360.
The greatest common factor of 610/440,8568/769 = [GCF of 610,8568]/[LCM of 440,769]= 2/338360
Therefore, the GCF of 610/440,8568/769 is 2/338360.
To find the highest common factor of 610,8568, we have to find the factors of both numbers and list the highest common factor.
The factors of 610 are 1, 2, 5, 10, 61, 122, 305, 610
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 610,8568 is 2.
Lets's calculate GCF of 610,8568
| 2 | 610, 8568 |
| 305, 4284 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 610,8568 By Matching Biggest Common Factor Method
Now, list down the factors of 610
:1,2,5,10,61,122,305,610
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 610,8568 . The biggest common factor number is the GCF number.
So the greatest common factor 610,8568 is 2.
Lets's calculate LCM of 440,769
Given numbers has no common factors except 1. So, there LCM is their product i.e 338360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/338360
Therefore, the GCF of Fractions 610/440,8568/769 is 2/338360
Least Common Multiple of 440,769 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 440,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(440,769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(440,769) x common factors =1 x 1 = 1
LCM(440,769) = ( 440 × 769 ) / 1
LCM(440,769) = 338360 / 1
LCM(440,769) = 338360
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FAQs on GCF of Fractions of 610/440, 8568/769
1. What is the HCF of 610,8568?
The HCF of 610,8568 is 2
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 610/440, 8568/769?
Answer: GCF of Numerators as per given numbers 610/440, 8568/769 is
GCF of Numerators i.e. for 610,8568 is 2
LCM of denominators i.e. for 440,769 is 338360.
Thus, GCF of Fractions is 2/338360.Finally, GCF of Fractions for 610/440, 8568/769 is 2/338360.