GCF of 1221/349, 6060/415
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1221/349, 6060/415 i.e 3/144835 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1221/349, 6060/415.
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 1221/349,6060/415?
Given fractions are 1221/349,6060/415
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 1221/349,6060/415, numerators are 1221,6060
Denominators are 349,415
The GCF of 1221,6060 is 3 .
LCM of 349,415 is 144835.
The greatest common factor of 1221/349,6060/415 = [GCF of 1221,6060]/[LCM of 349,415]= 3/144835
Therefore, the GCF of 1221/349,6060/415 is 3/144835.
To find the highest common factor of 1221,6060, we have to find the factors of both numbers and list the highest common factor.
The factors of 1221 are 1, 3, 11, 33, 37, 111, 407, 1221
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 HCF of 1221,6060 is 3.
Lets's calculate GCF of 1221,6060
| 3 | 1221, 6060 |
| 407, 2020 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1221,6060 By Matching Biggest Common Factor Method
Now, list down the factors of 1221
:1,3,11,33,37,111,407,1221
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
Greatest Common Factor
We found the factors 1221,6060 . The biggest common factor number is the GCF number.
So the greatest common factor 1221,6060 is 3.
Lets's calculate LCM of 349,415
Given numbers has no common factors except 1. So, there LCM is their product i.e 144835
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/144835
Therefore, the GCF of Fractions 1221/349,6060/415 is 3/144835
Least Common Multiple of 349,415 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 349,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(349,415) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(349,415) x common factors =1 x 1 = 1
LCM(349,415) = ( 349 × 415 ) / 1
LCM(349,415) = 144835 / 1
LCM(349,415) = 144835
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FAQs on GCF of Fractions of 1221/349, 6060/415
1. What is the HCF of 1221,6060?
The HCF of 1221,6060 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 1221/349, 6060/415?
Answer: GCF of Numerators as per given numbers 1221/349, 6060/415 is
GCF of Numerators i.e. for 1221,6060 is 3
LCM of denominators i.e. for 349,415 is 144835.
Thus, GCF of Fractions is 3/144835.Finally, GCF of Fractions for 1221/349, 6060/415 is 3/144835.