GCF of 6589/242, 6094/5102
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6589/242, 6094/5102 i.e 11/617342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6589/242, 6094/5102.
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 6589/242,6094/5102?
Given fractions are 6589/242,6094/5102
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 6589/242,6094/5102, numerators are 6589,6094
Denominators are 242,5102
The GCF of 6589,6094 is 11 .
LCM of 242,5102 is 617342.
The greatest common factor of 6589/242,6094/5102 = [GCF of 6589,6094]/[LCM of 242,5102]= 11/617342
Therefore, the GCF of 6589/242,6094/5102 is 11/617342.
To find the highest common factor of 6589,6094, 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 6094 are 1, 2, 11, 22, 277, 554, 3047, 6094
The HCF of 6589,6094 is 11.
Lets's calculate GCF of 6589,6094
| 11 | 6589, 6094 |
| 599, 554 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 6589,6094 By Matching Biggest Common Factor Method
Now, list down the factors of 6589
:1,11,599,6589
Now, list down the factors of 6094
:1,2,11,22,277,554,3047,6094
Greatest Common Factor
We found the factors 6589,6094 . The biggest common factor number is the GCF number.
So the greatest common factor 6589,6094 is 11.
Lets's calculate LCM of 242,5102
| 2 | 242, 5102 |
| 121, 2551 |
∴ So the LCM of the given numbers is 2 x 121 x 2551 = 617342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/617342
Therefore, the GCF of Fractions 6589/242,6094/5102 is 11/617342
Least Common Multiple of 242,5102 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 242,5102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(242,5102) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(242,5102) x common factors =2 x 1 = 2
LCM(242,5102) = ( 242 × 5102 ) / 2
LCM(242,5102) = 1234684 / 2
LCM(242,5102) = 617342
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FAQs on GCF of Fractions of 6589/242, 6094/5102
1. What is the HCF of 6589,6094?
The HCF of 6589,6094 is 11
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 6589/242, 6094/5102?
Answer: GCF of Numerators as per given numbers 6589/242, 6094/5102 is
GCF of Numerators i.e. for 6589,6094 is 11
LCM of denominators i.e. for 242,5102 is 617342.
Thus, GCF of Fractions is 11/617342.Finally, GCF of Fractions for 6589/242, 6094/5102 is 11/617342.