GCF of 5181/914, 1620/5983
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5181/914, 1620/5983 i.e 3/5468462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5181/914, 1620/5983.
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 5181/914,1620/5983?
Given fractions are 5181/914,1620/5983
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 5181/914,1620/5983, numerators are 5181,1620
Denominators are 914,5983
The GCF of 5181,1620 is 3 .
LCM of 914,5983 is 5468462.
The greatest common factor of 5181/914,1620/5983 = [GCF of 5181,1620]/[LCM of 914,5983]= 3/5468462
Therefore, the GCF of 5181/914,1620/5983 is 3/5468462.
To find the highest common factor of 5181,1620, we have to find the factors of both numbers and list the highest common factor.
The factors of 5181 are 1, 3, 11, 33, 157, 471, 1727, 5181
The factors of 1620 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 270, 324, 405, 540, 810, 1620
The HCF of 5181,1620 is 3.
Lets's calculate GCF of 5181,1620
| 3 | 5181, 1620 |
| 1727, 540 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5181,1620 By Matching Biggest Common Factor Method
Now, list down the factors of 5181
:1,3,11,33,157,471,1727,5181
Now, list down the factors of 1620
:1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,81,90,108,135,162,180,270,324,405,540,810,1620
Greatest Common Factor
We found the factors 5181,1620 . The biggest common factor number is the GCF number.
So the greatest common factor 5181,1620 is 3.
Lets's calculate LCM of 914,5983
Given numbers has no common factors except 1. So, there LCM is their product i.e 5468462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5468462
Therefore, the GCF of Fractions 5181/914,1620/5983 is 3/5468462
Least Common Multiple of 914,5983 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 914,5983 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(914,5983) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(914,5983) x common factors =1 x 1 = 1
LCM(914,5983) = ( 914 × 5983 ) / 1
LCM(914,5983) = 5468462 / 1
LCM(914,5983) = 5468462
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FAQs on GCF of Fractions of 5181/914, 1620/5983
1. What is the HCF of 5181,1620?
The HCF of 5181,1620 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 5181/914, 1620/5983?
Answer: GCF of Numerators as per given numbers 5181/914, 1620/5983 is
GCF of Numerators i.e. for 5181,1620 is 3
LCM of denominators i.e. for 914,5983 is 5468462.
Thus, GCF of Fractions is 3/5468462.Finally, GCF of Fractions for 5181/914, 1620/5983 is 3/5468462.