GCF of 5765/169, 6585/249
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5765/169, 6585/249 i.e 5/42081 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5765/169, 6585/249.
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 5765/169,6585/249?
Given fractions are 5765/169,6585/249
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 5765/169,6585/249, numerators are 5765,6585
Denominators are 169,249
The GCF of 5765,6585 is 5 .
LCM of 169,249 is 42081.
The greatest common factor of 5765/169,6585/249 = [GCF of 5765,6585]/[LCM of 169,249]= 5/42081
Therefore, the GCF of 5765/169,6585/249 is 5/42081.
To find the highest common factor of 5765,6585, we have to find the factors of both numbers and list the highest common factor.
The factors of 5765 are 1, 5, 1153, 5765
The factors of 6585 are 1, 3, 5, 15, 439, 1317, 2195, 6585
The HCF of 5765,6585 is 5.
Lets's calculate GCF of 5765,6585
| 5 | 5765, 6585 |
| 1153, 1317 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5765,6585 By Matching Biggest Common Factor Method
Now, list down the factors of 5765
:1,5,1153,5765
Now, list down the factors of 6585
:1,3,5,15,439,1317,2195,6585
Greatest Common Factor
We found the factors 5765,6585 . The biggest common factor number is the GCF number.
So the greatest common factor 5765,6585 is 5.
Lets's calculate LCM of 169,249
Given numbers has no common factors except 1. So, there LCM is their product i.e 42081
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/42081
Therefore, the GCF of Fractions 5765/169,6585/249 is 5/42081
Least Common Multiple of 169,249 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 169,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(169,249) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(169,249) x common factors =1 x 1 = 1
LCM(169,249) = ( 169 × 249 ) / 1
LCM(169,249) = 42081 / 1
LCM(169,249) = 42081
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FAQs on GCF of Fractions of 5765/169, 6585/249
1. What is the HCF of 5765,6585?
The HCF of 5765,6585 is 5
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 5765/169, 6585/249?
Answer: GCF of Numerators as per given numbers 5765/169, 6585/249 is
GCF of Numerators i.e. for 5765,6585 is 5
LCM of denominators i.e. for 169,249 is 42081.
Thus, GCF of Fractions is 5/42081.Finally, GCF of Fractions for 5765/169, 6585/249 is 5/42081.