GCF of 1653/369, 6210/187
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1653/369, 6210/187 i.e 3/69003 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1653/369, 6210/187.
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 1653/369,6210/187?
Given fractions are 1653/369,6210/187
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 1653/369,6210/187, numerators are 1653,6210
Denominators are 369,187
The GCF of 1653,6210 is 3 .
LCM of 369,187 is 69003.
The greatest common factor of 1653/369,6210/187 = [GCF of 1653,6210]/[LCM of 369,187]= 3/69003
Therefore, the GCF of 1653/369,6210/187 is 3/69003.
To find the highest common factor of 1653,6210, we have to find the factors of both numbers and list the highest common factor.
The factors of 1653 are 1, 3, 19, 29, 57, 87, 551, 1653
The factors of 6210 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 27, 30, 45, 46, 54, 69, 90, 115, 135, 138, 207, 230, 270, 345, 414, 621, 690, 1035, 1242, 2070, 3105, 6210
The HCF of 1653,6210 is 3.
Lets's calculate GCF of 1653,6210
| 3 | 1653, 6210 |
| 551, 2070 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1653,6210 By Matching Biggest Common Factor Method
Now, list down the factors of 1653
:1,3,19,29,57,87,551,1653
Now, list down the factors of 6210
:1,2,3,5,6,9,10,15,18,23,27,30,45,46,54,69,90,115,135,138,207,230,270,345,414,621,690,1035,1242,2070,3105,6210
Greatest Common Factor
We found the factors 1653,6210 . The biggest common factor number is the GCF number.
So the greatest common factor 1653,6210 is 3.
Lets's calculate LCM of 369,187
Given numbers has no common factors except 1. So, there LCM is their product i.e 69003
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/69003
Therefore, the GCF of Fractions 1653/369,6210/187 is 3/69003
Least Common Multiple of 369,187 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 369,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(369,187) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(369,187) x common factors =1 x 1 = 1
LCM(369,187) = ( 369 × 187 ) / 1
LCM(369,187) = 69003 / 1
LCM(369,187) = 69003
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FAQs on GCF of Fractions of 1653/369, 6210/187
1. What is the HCF of 1653,6210?
The HCF of 1653,6210 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 1653/369, 6210/187?
Answer: GCF of Numerators as per given numbers 1653/369, 6210/187 is
GCF of Numerators i.e. for 1653,6210 is 3
LCM of denominators i.e. for 369,187 is 69003.
Thus, GCF of Fractions is 3/69003.Finally, GCF of Fractions for 1653/369, 6210/187 is 3/69003.