GCF of 6568/38, 9189/562
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6568/38, 9189/562 i.e 1/10678 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6568/38, 9189/562.
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 6568/38,9189/562?
Given fractions are 6568/38,9189/562
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 6568/38,9189/562, numerators are 6568,9189
Denominators are 38,562
The GCF of 6568,9189 is 1 .
LCM of 38,562 is 10678.
The greatest common factor of 6568/38,9189/562 = [GCF of 6568,9189]/[LCM of 38,562]= 1/10678
Therefore, the GCF of 6568/38,9189/562 is 1/10678.
To find the highest common factor of 6568,9189, 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 9189 are 1, 3, 9, 1021, 3063, 9189
The HCF of 6568,9189 is 1.
Lets's calculate GCF of 6568,9189
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6568,9189 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 9189
:1,3,9,1021,3063,9189
Greatest Common Factor
We found the factors 6568,9189 . The biggest common factor number is the GCF number.
So the greatest common factor 6568,9189 is 1.
Lets's calculate LCM of 38,562
| 2 | 38, 562 |
| 19, 281 |
∴ So the LCM of the given numbers is 2 x 19 x 281 = 10678
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10678
Therefore, the GCF of Fractions 6568/38,9189/562 is 1/10678
Least Common Multiple of 38,562 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 38,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,562) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(38,562) x common factors =2 x 1 = 2
LCM(38,562) = ( 38 × 562 ) / 2
LCM(38,562) = 21356 / 2
LCM(38,562) = 10678
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FAQs on GCF of Fractions of 6568/38, 9189/562
1. What is the HCF of 6568,9189?
The HCF of 6568,9189 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 6568/38, 9189/562?
Answer: GCF of Numerators as per given numbers 6568/38, 9189/562 is
GCF of Numerators i.e. for 6568,9189 is 1
LCM of denominators i.e. for 38,562 is 10678.
Thus, GCF of Fractions is 1/10678.Finally, GCF of Fractions for 6568/38, 9189/562 is 1/10678.