GCF of 6657/201, 2205/1512
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6657/201, 2205/1512 i.e 21/101304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6657/201, 2205/1512.
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 6657/201,2205/1512?
Given fractions are 6657/201,2205/1512
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 6657/201,2205/1512, numerators are 6657,2205
Denominators are 201,1512
The GCF of 6657,2205 is 21 .
LCM of 201,1512 is 101304.
The greatest common factor of 6657/201,2205/1512 = [GCF of 6657,2205]/[LCM of 201,1512]= 21/101304
Therefore, the GCF of 6657/201,2205/1512 is 21/101304.
To find the highest common factor of 6657,2205, we have to find the factors of both numbers and list the highest common factor.
The factors of 6657 are 1, 3, 7, 21, 317, 951, 2219, 6657
The factors of 2205 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 49, 63, 105, 147, 245, 315, 441, 735, 2205
The HCF of 6657,2205 is 21.
Lets's calculate GCF of 6657,2205
| 3 | 6657, 2205 |
| 7 | 2219, 735 |
| 317, 105 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 6657,2205 By Matching Biggest Common Factor Method
Now, list down the factors of 6657
:1,3,7,21,317,951,2219,6657
Now, list down the factors of 2205
:1,3,5,7,9,15,21,35,45,49,63,105,147,245,315,441,735,2205
Greatest Common Factor
We found the factors 6657,2205 . The biggest common factor number is the GCF number.
So the greatest common factor 6657,2205 is 21.
Lets's calculate LCM of 201,1512
| 3 | 201, 1512 |
| 67, 504 |
∴ So the LCM of the given numbers is 3 x 67 x 504 = 101304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/101304
Therefore, the GCF of Fractions 6657/201,2205/1512 is 21/101304
Least Common Multiple of 201,1512 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 201,1512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(201,1512) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(201,1512) x common factors =3 x 1 = 3
LCM(201,1512) = ( 201 × 1512 ) / 3
LCM(201,1512) = 303912 / 3
LCM(201,1512) = 101304
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FAQs on GCF of Fractions of 6657/201, 2205/1512
1. What is the HCF of 6657,2205?
The HCF of 6657,2205 is 21
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 6657/201, 2205/1512?
Answer: GCF of Numerators as per given numbers 6657/201, 2205/1512 is
GCF of Numerators i.e. for 6657,2205 is 21
LCM of denominators i.e. for 201,1512 is 101304.
Thus, GCF of Fractions is 21/101304.Finally, GCF of Fractions for 6657/201, 2205/1512 is 21/101304.