GCF of 659/12, 352/5798
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 659/12, 352/5798 i.e 1/34788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 659/12, 352/5798.
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 659/12,352/5798?
Given fractions are 659/12,352/5798
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 659/12,352/5798, numerators are 659,352
Denominators are 12,5798
The GCF of 659,352 is 1 .
LCM of 12,5798 is 34788.
The greatest common factor of 659/12,352/5798 = [GCF of 659,352]/[LCM of 12,5798]= 1/34788
Therefore, the GCF of 659/12,352/5798 is 1/34788.
To find the highest common factor of 659,352, we have to find the factors of both numbers and list the highest common factor.
The factors of 659 are 1, 659
The factors of 352 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
The HCF of 659,352 is 1.
Lets's calculate GCF of 659,352
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 659,352 By Matching Biggest Common Factor Method
Now, list down the factors of 659
:1,659
Now, list down the factors of 352
:1,2,4,8,11,16,22,32,44,88,176,352
Greatest Common Factor
We found the factors 659,352 . The biggest common factor number is the GCF number.
So the greatest common factor 659,352 is 1.
Lets's calculate LCM of 12,5798
| 2 | 12, 5798 |
| 6, 2899 |
∴ So the LCM of the given numbers is 2 x 6 x 2899 = 34788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34788
Therefore, the GCF of Fractions 659/12,352/5798 is 1/34788
Least Common Multiple of 12,5798 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 12,5798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,5798) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(12,5798) x common factors =2 x 1 = 2
LCM(12,5798) = ( 12 × 5798 ) / 2
LCM(12,5798) = 69576 / 2
LCM(12,5798) = 34788
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FAQs on GCF of Fractions of 659/12, 352/5798
1. What is the HCF of 659,352?
The HCF of 659,352 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 659/12, 352/5798?
Answer: GCF of Numerators as per given numbers 659/12, 352/5798 is
GCF of Numerators i.e. for 659,352 is 1
LCM of denominators i.e. for 12,5798 is 34788.
Thus, GCF of Fractions is 1/34788.Finally, GCF of Fractions for 659/12, 352/5798 is 1/34788.