GCF of 1164/20, 5982/289
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1164/20, 5982/289 i.e 6/5780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1164/20, 5982/289.
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 1164/20,5982/289?
Given fractions are 1164/20,5982/289
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 1164/20,5982/289, numerators are 1164,5982
Denominators are 20,289
The GCF of 1164,5982 is 6 .
LCM of 20,289 is 5780.
The greatest common factor of 1164/20,5982/289 = [GCF of 1164,5982]/[LCM of 20,289]= 6/5780
Therefore, the GCF of 1164/20,5982/289 is 6/5780.
To find the highest common factor of 1164,5982, we have to find the factors of both numbers and list the highest common factor.
The factors of 1164 are 1, 2, 3, 4, 6, 12, 97, 194, 291, 388, 582, 1164
The factors of 5982 are 1, 2, 3, 6, 997, 1994, 2991, 5982
The HCF of 1164,5982 is 6.
Lets's calculate GCF of 1164,5982
| 2 | 1164, 5982 |
| 3 | 582, 2991 |
| 194, 997 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 1164,5982 By Matching Biggest Common Factor Method
Now, list down the factors of 1164
:1,2,3,4,6,12,97,194,291,388,582,1164
Now, list down the factors of 5982
:1,2,3,6,997,1994,2991,5982
Greatest Common Factor
We found the factors 1164,5982 . The biggest common factor number is the GCF number.
So the greatest common factor 1164,5982 is 6.
Lets's calculate LCM of 20,289
Given numbers has no common factors except 1. So, there LCM is their product i.e 5780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/5780
Therefore, the GCF of Fractions 1164/20,5982/289 is 6/5780
Least Common Multiple of 20,289 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 20,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(20,289) x common factors =1 x 1 = 1
LCM(20,289) = ( 20 × 289 ) / 1
LCM(20,289) = 5780 / 1
LCM(20,289) = 5780
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FAQs on GCF of Fractions of 1164/20, 5982/289
1. What is the HCF of 1164,5982?
The HCF of 1164,5982 is 6
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 1164/20, 5982/289?
Answer: GCF of Numerators as per given numbers 1164/20, 5982/289 is
GCF of Numerators i.e. for 1164,5982 is 6
LCM of denominators i.e. for 20,289 is 5780.
Thus, GCF of Fractions is 6/5780.Finally, GCF of Fractions for 1164/20, 5982/289 is 6/5780.