GCF of 618/261, 1648/213
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 618/261, 1648/213 i.e 206/18531 easily. The following is the detailed procedure to determine the greatest common factor of fractions 618/261, 1648/213.
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 618/261,1648/213?
Given fractions are 618/261,1648/213
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 618/261,1648/213, numerators are 618,1648
Denominators are 261,213
The GCF of 618,1648 is 206 .
LCM of 261,213 is 18531.
The greatest common factor of 618/261,1648/213 = [GCF of 618,1648]/[LCM of 261,213]= 206/18531
Therefore, the GCF of 618/261,1648/213 is 206/18531.
To find the highest common factor of 618,1648, we have to find the factors of both numbers and list the highest common factor.
The factors of 618 are 1, 2, 3, 6, 103, 206, 309, 618
The factors of 1648 are 1, 2, 4, 8, 16, 103, 206, 412, 824, 1648
The HCF of 618,1648 is 206.
Lets's calculate GCF of 618,1648
| 2 | 618, 1648 |
| 103 | 309, 824 |
| 3, 8 |
∴ So the GCF of the given numbers is 2 x 103 = 206
Greatest Common Factor of 618,1648 By Matching Biggest Common Factor Method
Now, list down the factors of 618
:1,2,3,6,103,206,309,618
Now, list down the factors of 1648
:1,2,4,8,16,103,206,412,824,1648
Greatest Common Factor
We found the factors 618,1648 . The biggest common factor number is the GCF number.
So the greatest common factor 618,1648 is 206.
Lets's calculate LCM of 261,213
| 3 | 261, 213 |
| 87, 71 |
∴ So the LCM of the given numbers is 3 x 87 x 71 = 18531
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 206/18531
Therefore, the GCF of Fractions 618/261,1648/213 is 206/18531
Least Common Multiple of 261,213 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 261,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(261,213) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(261,213) x common factors =3 x 1 = 3
LCM(261,213) = ( 261 × 213 ) / 3
LCM(261,213) = 55593 / 3
LCM(261,213) = 18531
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FAQs on GCF of Fractions of 618/261, 1648/213
1. What is the HCF of 618,1648?
The HCF of 618,1648 is 206
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 618/261, 1648/213?
Answer: GCF of Numerators as per given numbers 618/261, 1648/213 is
GCF of Numerators i.e. for 618,1648 is 206
LCM of denominators i.e. for 261,213 is 18531.
Thus, GCF of Fractions is 206/18531.Finally, GCF of Fractions for 618/261, 1648/213 is 206/18531.