GCF of 3596/329, 8587/361
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3596/329, 8587/361 i.e 31/118769 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3596/329, 8587/361.
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 3596/329,8587/361?
Given fractions are 3596/329,8587/361
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 3596/329,8587/361, numerators are 3596,8587
Denominators are 329,361
The GCF of 3596,8587 is 31 .
LCM of 329,361 is 118769.
The greatest common factor of 3596/329,8587/361 = [GCF of 3596,8587]/[LCM of 329,361]= 31/118769
Therefore, the GCF of 3596/329,8587/361 is 31/118769.
To find the highest common factor of 3596,8587, we have to find the factors of both numbers and list the highest common factor.
The factors of 3596 are 1, 2, 4, 29, 31, 58, 62, 116, 124, 899, 1798, 3596
The factors of 8587 are 1, 31, 277, 8587
The HCF of 3596,8587 is 31.
Lets's calculate GCF of 3596,8587
| 31 | 3596, 8587 |
| 116, 277 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 3596,8587 By Matching Biggest Common Factor Method
Now, list down the factors of 3596
:1,2,4,29,31,58,62,116,124,899,1798,3596
Now, list down the factors of 8587
:1,31,277,8587
Greatest Common Factor
We found the factors 3596,8587 . The biggest common factor number is the GCF number.
So the greatest common factor 3596,8587 is 31.
Lets's calculate LCM of 329,361
Given numbers has no common factors except 1. So, there LCM is their product i.e 118769
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/118769
Therefore, the GCF of Fractions 3596/329,8587/361 is 31/118769
Least Common Multiple of 329,361 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 329,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(329,361) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(329,361) x common factors =1 x 1 = 1
LCM(329,361) = ( 329 × 361 ) / 1
LCM(329,361) = 118769 / 1
LCM(329,361) = 118769
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FAQs on GCF of Fractions of 3596/329, 8587/361
1. What is the HCF of 3596,8587?
The HCF of 3596,8587 is 31
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 3596/329, 8587/361?
Answer: GCF of Numerators as per given numbers 3596/329, 8587/361 is
GCF of Numerators i.e. for 3596,8587 is 31
LCM of denominators i.e. for 329,361 is 118769.
Thus, GCF of Fractions is 31/118769.Finally, GCF of Fractions for 3596/329, 8587/361 is 31/118769.