GCF of 2181/599, 8697/9072
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2181/599, 8697/9072 i.e 3/5434128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2181/599, 8697/9072.
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 2181/599,8697/9072?
Given fractions are 2181/599,8697/9072
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 2181/599,8697/9072, numerators are 2181,8697
Denominators are 599,9072
The GCF of 2181,8697 is 3 .
LCM of 599,9072 is 5434128.
The greatest common factor of 2181/599,8697/9072 = [GCF of 2181,8697]/[LCM of 599,9072]= 3/5434128
Therefore, the GCF of 2181/599,8697/9072 is 3/5434128.
To find the highest common factor of 2181,8697, we have to find the factors of both numbers and list the highest common factor.
The factors of 2181 are 1, 3, 727, 2181
The factors of 8697 are 1, 3, 13, 39, 223, 669, 2899, 8697
The HCF of 2181,8697 is 3.
Lets's calculate GCF of 2181,8697
| 3 | 2181, 8697 |
| 727, 2899 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2181,8697 By Matching Biggest Common Factor Method
Now, list down the factors of 2181
:1,3,727,2181
Now, list down the factors of 8697
:1,3,13,39,223,669,2899,8697
Greatest Common Factor
We found the factors 2181,8697 . The biggest common factor number is the GCF number.
So the greatest common factor 2181,8697 is 3.
Lets's calculate LCM of 599,9072
Given numbers has no common factors except 1. So, there LCM is their product i.e 5434128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5434128
Therefore, the GCF of Fractions 2181/599,8697/9072 is 3/5434128
Least Common Multiple of 599,9072 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 599,9072 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(599,9072) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(599,9072) x common factors =1 x 1 = 1
LCM(599,9072) = ( 599 × 9072 ) / 1
LCM(599,9072) = 5434128 / 1
LCM(599,9072) = 5434128
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FAQs on GCF of Fractions of 2181/599, 8697/9072
1. What is the HCF of 2181,8697?
The HCF of 2181,8697 is 3
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 2181/599, 8697/9072?
Answer: GCF of Numerators as per given numbers 2181/599, 8697/9072 is
GCF of Numerators i.e. for 2181,8697 is 3
LCM of denominators i.e. for 599,9072 is 5434128.
Thus, GCF of Fractions is 3/5434128.Finally, GCF of Fractions for 2181/599, 8697/9072 is 3/5434128.