GCF of 6060/127, 1998/467
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6060/127, 1998/467 i.e 6/59309 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6060/127, 1998/467.
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 6060/127,1998/467?
Given fractions are 6060/127,1998/467
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 6060/127,1998/467, numerators are 6060,1998
Denominators are 127,467
The GCF of 6060,1998 is 6 .
LCM of 127,467 is 59309.
The greatest common factor of 6060/127,1998/467 = [GCF of 6060,1998]/[LCM of 127,467]= 6/59309
Therefore, the GCF of 6060/127,1998/467 is 6/59309.
To find the highest common factor of 6060,1998, we have to find the factors of both numbers and list the highest common factor.
The factors of 6060 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 101, 202, 303, 404, 505, 606, 1010, 1212, 1515, 2020, 3030, 6060
The factors of 1998 are 1, 2, 3, 6, 9, 18, 27, 37, 54, 74, 111, 222, 333, 666, 999, 1998
The HCF of 6060,1998 is 6.
Lets's calculate GCF of 6060,1998
| 2 | 6060, 1998 |
| 3 | 3030, 999 |
| 1010, 333 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 6060,1998 By Matching Biggest Common Factor Method
Now, list down the factors of 6060
:1,2,3,4,5,6,10,12,15,20,30,60,101,202,303,404,505,606,1010,1212,1515,2020,3030,6060
Now, list down the factors of 1998
:1,2,3,6,9,18,27,37,54,74,111,222,333,666,999,1998
Greatest Common Factor
We found the factors 6060,1998 . The biggest common factor number is the GCF number.
So the greatest common factor 6060,1998 is 6.
Lets's calculate LCM of 127,467
Given numbers has no common factors except 1. So, there LCM is their product i.e 59309
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/59309
Therefore, the GCF of Fractions 6060/127,1998/467 is 6/59309
Least Common Multiple of 127,467 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 127,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(127,467) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(127,467) x common factors =1 x 1 = 1
LCM(127,467) = ( 127 × 467 ) / 1
LCM(127,467) = 59309 / 1
LCM(127,467) = 59309
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FAQs on GCF of Fractions of 6060/127, 1998/467
1. What is the HCF of 6060,1998?
The HCF of 6060,1998 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 6060/127, 1998/467?
Answer: GCF of Numerators as per given numbers 6060/127, 1998/467 is
GCF of Numerators i.e. for 6060,1998 is 6
LCM of denominators i.e. for 127,467 is 59309.
Thus, GCF of Fractions is 6/59309.Finally, GCF of Fractions for 6060/127, 1998/467 is 6/59309.