GCF of 1616/214, 1640/8873
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1616/214, 1640/8873 i.e 8/1898822 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1616/214, 1640/8873.
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 1616/214,1640/8873?
Given fractions are 1616/214,1640/8873
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 1616/214,1640/8873, numerators are 1616,1640
Denominators are 214,8873
The GCF of 1616,1640 is 8 .
LCM of 214,8873 is 1898822.
The greatest common factor of 1616/214,1640/8873 = [GCF of 1616,1640]/[LCM of 214,8873]= 8/1898822
Therefore, the GCF of 1616/214,1640/8873 is 8/1898822.
To find the highest common factor of 1616,1640, we have to find the factors of both numbers and list the highest common factor.
The factors of 1616 are 1, 2, 4, 8, 16, 101, 202, 404, 808, 1616
The factors of 1640 are 1, 2, 4, 5, 8, 10, 20, 40, 41, 82, 164, 205, 328, 410, 820, 1640
The HCF of 1616,1640 is 8.
Lets's calculate GCF of 1616,1640
| 2 | 1616, 1640 |
| 2 | 808, 820 |
| 2 | 404, 410 |
| 202, 205 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 1616,1640 By Matching Biggest Common Factor Method
Now, list down the factors of 1616
:1,2,4,8,16,101,202,404,808,1616
Now, list down the factors of 1640
:1,2,4,5,8,10,20,40,41,82,164,205,328,410,820,1640
Greatest Common Factor
We found the factors 1616,1640 . The biggest common factor number is the GCF number.
So the greatest common factor 1616,1640 is 8.
Lets's calculate LCM of 214,8873
Given numbers has no common factors except 1. So, there LCM is their product i.e 1898822
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1898822
Therefore, the GCF of Fractions 1616/214,1640/8873 is 8/1898822
Least Common Multiple of 214,8873 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 214,8873 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,8873) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(214,8873) x common factors =1 x 1 = 1
LCM(214,8873) = ( 214 × 8873 ) / 1
LCM(214,8873) = 1898822 / 1
LCM(214,8873) = 1898822
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FAQs on GCF of Fractions of 1616/214, 1640/8873
1. What is the HCF of 1616,1640?
The HCF of 1616,1640 is 8
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 1616/214, 1640/8873?
Answer: GCF of Numerators as per given numbers 1616/214, 1640/8873 is
GCF of Numerators i.e. for 1616,1640 is 8
LCM of denominators i.e. for 214,8873 is 1898822.
Thus, GCF of Fractions is 8/1898822.Finally, GCF of Fractions for 1616/214, 1640/8873 is 8/1898822.