GCF of 6568/936, 6566/7600
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6568/936, 6566/7600 i.e 2/889200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6568/936, 6566/7600.
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 6568/936,6566/7600?
Given fractions are 6568/936,6566/7600
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 6568/936,6566/7600, numerators are 6568,6566
Denominators are 936,7600
The GCF of 6568,6566 is 2 .
LCM of 936,7600 is 889200.
The greatest common factor of 6568/936,6566/7600 = [GCF of 6568,6566]/[LCM of 936,7600]= 2/889200
Therefore, the GCF of 6568/936,6566/7600 is 2/889200.
To find the highest common factor of 6568,6566, we have to find the factors of both numbers and list the highest common factor.
The factors of 6568 are 1, 2, 4, 8, 821, 1642, 3284, 6568
The factors of 6566 are 1, 2, 7, 14, 49, 67, 98, 134, 469, 938, 3283, 6566
The HCF of 6568,6566 is 2.
Lets's calculate GCF of 6568,6566
| 2 | 6568, 6566 |
| 3284, 3283 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6568,6566 By Matching Biggest Common Factor Method
Now, list down the factors of 6568
:1,2,4,8,821,1642,3284,6568
Now, list down the factors of 6566
:1,2,7,14,49,67,98,134,469,938,3283,6566
Greatest Common Factor
We found the factors 6568,6566 . The biggest common factor number is the GCF number.
So the greatest common factor 6568,6566 is 2.
Lets's calculate LCM of 936,7600
| 2 | 936, 7600 |
| 2 | 468, 3800 |
| 2 | 234, 1900 |
| 117, 950 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 117 x 950 = 889200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/889200
Therefore, the GCF of Fractions 6568/936,6566/7600 is 2/889200
Least Common Multiple of 936,7600 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 936,7600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(936,7600) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(936,7600) x common factors =8 x 1 = 8
LCM(936,7600) = ( 936 × 7600 ) / 8
LCM(936,7600) = 7113600 / 8
LCM(936,7600) = 889200
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FAQs on GCF of Fractions of 6568/936, 6566/7600
1. What is the HCF of 6568,6566?
The HCF of 6568,6566 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 6568/936, 6566/7600?
Answer: GCF of Numerators as per given numbers 6568/936, 6566/7600 is
GCF of Numerators i.e. for 6568,6566 is 2
LCM of denominators i.e. for 936,7600 is 889200.
Thus, GCF of Fractions is 2/889200.Finally, GCF of Fractions for 6568/936, 6566/7600 is 2/889200.