GCF of 1646/180, 9592/317
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1646/180, 9592/317 i.e 2/57060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1646/180, 9592/317.
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 1646/180,9592/317?
Given fractions are 1646/180,9592/317
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 1646/180,9592/317, numerators are 1646,9592
Denominators are 180,317
The GCF of 1646,9592 is 2 .
LCM of 180,317 is 57060.
The greatest common factor of 1646/180,9592/317 = [GCF of 1646,9592]/[LCM of 180,317]= 2/57060
Therefore, the GCF of 1646/180,9592/317 is 2/57060.
To find the highest common factor of 1646,9592, we have to find the factors of both numbers and list the highest common factor.
The factors of 1646 are 1, 2, 823, 1646
The factors of 9592 are 1, 2, 4, 8, 11, 22, 44, 88, 109, 218, 436, 872, 1199, 2398, 4796, 9592
The HCF of 1646,9592 is 2.
Lets's calculate GCF of 1646,9592
| 2 | 1646, 9592 |
| 823, 4796 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1646,9592 By Matching Biggest Common Factor Method
Now, list down the factors of 1646
:1,2,823,1646
Now, list down the factors of 9592
:1,2,4,8,11,22,44,88,109,218,436,872,1199,2398,4796,9592
Greatest Common Factor
We found the factors 1646,9592 . The biggest common factor number is the GCF number.
So the greatest common factor 1646,9592 is 2.
Lets's calculate LCM of 180,317
Given numbers has no common factors except 1. So, there LCM is their product i.e 57060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/57060
Therefore, the GCF of Fractions 1646/180,9592/317 is 2/57060
Least Common Multiple of 180,317 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 180,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(180,317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(180,317) x common factors =1 x 1 = 1
LCM(180,317) = ( 180 × 317 ) / 1
LCM(180,317) = 57060 / 1
LCM(180,317) = 57060
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FAQs on GCF of Fractions of 1646/180, 9592/317
1. What is the HCF of 1646,9592?
The HCF of 1646,9592 is 2
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 1646/180, 9592/317?
Answer: GCF of Numerators as per given numbers 1646/180, 9592/317 is
GCF of Numerators i.e. for 1646,9592 is 2
LCM of denominators i.e. for 180,317 is 57060.
Thus, GCF of Fractions is 2/57060.Finally, GCF of Fractions for 1646/180, 9592/317 is 2/57060.