GCF of 364/39, 659/4671
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 364/39, 659/4671 i.e 1/60723 easily. The following is the detailed procedure to determine the greatest common factor of fractions 364/39, 659/4671.
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 364/39,659/4671?
Given fractions are 364/39,659/4671
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 364/39,659/4671, numerators are 364,659
Denominators are 39,4671
The GCF of 364,659 is 1 .
LCM of 39,4671 is 60723.
The greatest common factor of 364/39,659/4671 = [GCF of 364,659]/[LCM of 39,4671]= 1/60723
Therefore, the GCF of 364/39,659/4671 is 1/60723.
To find the highest common factor of 364,659, we have to find the factors of both numbers and list the highest common factor.
The factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
The factors of 659 are 1, 659
The HCF of 364,659 is 1.
Lets's calculate GCF of 364,659
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 364,659 By Matching Biggest Common Factor Method
Now, list down the factors of 364
:1,2,4,7,13,14,26,28,52,91,182,364
Now, list down the factors of 659
:1,659
Greatest Common Factor
We found the factors 364,659 . The biggest common factor number is the GCF number.
So the greatest common factor 364,659 is 1.
Lets's calculate LCM of 39,4671
| 3 | 39, 4671 |
| 13, 1557 |
∴ So the LCM of the given numbers is 3 x 13 x 1557 = 60723
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60723
Therefore, the GCF of Fractions 364/39,659/4671 is 1/60723
Least Common Multiple of 39,4671 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 39,4671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,4671) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(39,4671) x common factors =3 x 1 = 3
LCM(39,4671) = ( 39 × 4671 ) / 3
LCM(39,4671) = 182169 / 3
LCM(39,4671) = 60723
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FAQs on GCF of Fractions of 364/39, 659/4671
1. What is the HCF of 364,659?
The HCF of 364,659 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 364/39, 659/4671?
Answer: GCF of Numerators as per given numbers 364/39, 659/4671 is
GCF of Numerators i.e. for 364,659 is 1
LCM of denominators i.e. for 39,4671 is 60723.
Thus, GCF of Fractions is 1/60723.Finally, GCF of Fractions for 364/39, 659/4671 is 1/60723.