GCF of 5914/978, 3644/8200
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5914/978, 3644/8200 i.e 2/4009800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5914/978, 3644/8200.
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 5914/978,3644/8200?
Given fractions are 5914/978,3644/8200
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 5914/978,3644/8200, numerators are 5914,3644
Denominators are 978,8200
The GCF of 5914,3644 is 2 .
LCM of 978,8200 is 4009800.
The greatest common factor of 5914/978,3644/8200 = [GCF of 5914,3644]/[LCM of 978,8200]= 2/4009800
Therefore, the GCF of 5914/978,3644/8200 is 2/4009800.
To find the highest common factor of 5914,3644, we have to find the factors of both numbers and list the highest common factor.
The factors of 5914 are 1, 2, 2957, 5914
The factors of 3644 are 1, 2, 4, 911, 1822, 3644
The HCF of 5914,3644 is 2.
Lets's calculate GCF of 5914,3644
| 2 | 5914, 3644 |
| 2957, 1822 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5914,3644 By Matching Biggest Common Factor Method
Now, list down the factors of 5914
:1,2,2957,5914
Now, list down the factors of 3644
:1,2,4,911,1822,3644
Greatest Common Factor
We found the factors 5914,3644 . The biggest common factor number is the GCF number.
So the greatest common factor 5914,3644 is 2.
Lets's calculate LCM of 978,8200
| 2 | 978, 8200 |
| 489, 4100 |
∴ So the LCM of the given numbers is 2 x 489 x 4100 = 4009800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4009800
Therefore, the GCF of Fractions 5914/978,3644/8200 is 2/4009800
Least Common Multiple of 978,8200 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 978,8200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,8200) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(978,8200) x common factors =2 x 1 = 2
LCM(978,8200) = ( 978 × 8200 ) / 2
LCM(978,8200) = 8019600 / 2
LCM(978,8200) = 4009800
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5914/978, 3644/8200
1. What is the HCF of 5914,3644?
The HCF of 5914,3644 is 2
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 5914/978, 3644/8200?
Answer: GCF of Numerators as per given numbers 5914/978, 3644/8200 is
GCF of Numerators i.e. for 5914,3644 is 2
LCM of denominators i.e. for 978,8200 is 4009800.
Thus, GCF of Fractions is 2/4009800.Finally, GCF of Fractions for 5914/978, 3644/8200 is 2/4009800.