GCF of 210/66, 663/1053
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 210/66, 663/1053 i.e 3/23166 easily. The following is the detailed procedure to determine the greatest common factor of fractions 210/66, 663/1053.
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 210/66,663/1053?
Given fractions are 210/66,663/1053
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 210/66,663/1053, numerators are 210,663
Denominators are 66,1053
The GCF of 210,663 is 3 .
LCM of 66,1053 is 23166.
The greatest common factor of 210/66,663/1053 = [GCF of 210,663]/[LCM of 66,1053]= 3/23166
Therefore, the GCF of 210/66,663/1053 is 3/23166.
To find the highest common factor of 210,663, we have to find the factors of both numbers and list the highest common factor.
The factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
The factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663
The HCF of 210,663 is 3.
Lets's calculate GCF of 210,663
| 3 | 210, 663 |
| 70, 221 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 210,663 By Matching Biggest Common Factor Method
Now, list down the factors of 210
:1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Now, list down the factors of 663
:1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 210,663 . The biggest common factor number is the GCF number.
So the greatest common factor 210,663 is 3.
Lets's calculate LCM of 66,1053
| 3 | 66, 1053 |
| 22, 351 |
∴ So the LCM of the given numbers is 3 x 22 x 351 = 23166
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/23166
Therefore, the GCF of Fractions 210/66,663/1053 is 3/23166
Least Common Multiple of 66,1053 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 66,1053 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,1053) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(66,1053) x common factors =3 x 1 = 3
LCM(66,1053) = ( 66 × 1053 ) / 3
LCM(66,1053) = 69498 / 3
LCM(66,1053) = 23166
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FAQs on GCF of Fractions of 210/66, 663/1053
1. What is the HCF of 210,663?
The HCF of 210,663 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 210/66, 663/1053?
Answer: GCF of Numerators as per given numbers 210/66, 663/1053 is
GCF of Numerators i.e. for 210,663 is 3
LCM of denominators i.e. for 66,1053 is 23166.
Thus, GCF of Fractions is 3/23166.Finally, GCF of Fractions for 210/66, 663/1053 is 3/23166.