GCF of 8613/293, 1869/3655
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8613/293, 1869/3655 i.e 3/1070915 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8613/293, 1869/3655.
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 8613/293,1869/3655?
Given fractions are 8613/293,1869/3655
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 8613/293,1869/3655, numerators are 8613,1869
Denominators are 293,3655
The GCF of 8613,1869 is 3 .
LCM of 293,3655 is 1070915.
The greatest common factor of 8613/293,1869/3655 = [GCF of 8613,1869]/[LCM of 293,3655]= 3/1070915
Therefore, the GCF of 8613/293,1869/3655 is 3/1070915.
To find the highest common factor of 8613,1869, we have to find the factors of both numbers and list the highest common factor.
The factors of 8613 are 1, 3, 9, 11, 27, 29, 33, 87, 99, 261, 297, 319, 783, 957, 2871, 8613
The factors of 1869 are 1, 3, 7, 21, 89, 267, 623, 1869
The HCF of 8613,1869 is 3.
Lets's calculate GCF of 8613,1869
| 3 | 8613, 1869 |
| 2871, 623 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8613,1869 By Matching Biggest Common Factor Method
Now, list down the factors of 8613
:1,3,9,11,27,29,33,87,99,261,297,319,783,957,2871,8613
Now, list down the factors of 1869
:1,3,7,21,89,267,623,1869
Greatest Common Factor
We found the factors 8613,1869 . The biggest common factor number is the GCF number.
So the greatest common factor 8613,1869 is 3.
Lets's calculate LCM of 293,3655
Given numbers has no common factors except 1. So, there LCM is their product i.e 1070915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1070915
Therefore, the GCF of Fractions 8613/293,1869/3655 is 3/1070915
Least Common Multiple of 293,3655 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 293,3655 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(293,3655) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(293,3655) x common factors =1 x 1 = 1
LCM(293,3655) = ( 293 × 3655 ) / 1
LCM(293,3655) = 1070915 / 1
LCM(293,3655) = 1070915
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8613/293, 1869/3655
1. What is the HCF of 8613,1869?
The HCF of 8613,1869 is 3
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 8613/293, 1869/3655?
Answer: GCF of Numerators as per given numbers 8613/293, 1869/3655 is
GCF of Numerators i.e. for 8613,1869 is 3
LCM of denominators i.e. for 293,3655 is 1070915.
Thus, GCF of Fractions is 3/1070915.Finally, GCF of Fractions for 8613/293, 1869/3655 is 3/1070915.