GCF of 1384/899, 3914/8075
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1384/899, 3914/8075 i.e 2/7259425 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1384/899, 3914/8075.
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 1384/899,3914/8075?
Given fractions are 1384/899,3914/8075
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 1384/899,3914/8075, numerators are 1384,3914
Denominators are 899,8075
The GCF of 1384,3914 is 2 .
LCM of 899,8075 is 7259425.
The greatest common factor of 1384/899,3914/8075 = [GCF of 1384,3914]/[LCM of 899,8075]= 2/7259425
Therefore, the GCF of 1384/899,3914/8075 is 2/7259425.
To find the highest common factor of 1384,3914, we have to find the factors of both numbers and list the highest common factor.
The factors of 1384 are 1, 2, 4, 8, 173, 346, 692, 1384
The factors of 3914 are 1, 2, 19, 38, 103, 206, 1957, 3914
The HCF of 1384,3914 is 2.
Lets's calculate GCF of 1384,3914
| 2 | 1384, 3914 |
| 692, 1957 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1384,3914 By Matching Biggest Common Factor Method
Now, list down the factors of 1384
:1,2,4,8,173,346,692,1384
Now, list down the factors of 3914
:1,2,19,38,103,206,1957,3914
Greatest Common Factor
We found the factors 1384,3914 . The biggest common factor number is the GCF number.
So the greatest common factor 1384,3914 is 2.
Lets's calculate LCM of 899,8075
Given numbers has no common factors except 1. So, there LCM is their product i.e 7259425
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7259425
Therefore, the GCF of Fractions 1384/899,3914/8075 is 2/7259425
Least Common Multiple of 899,8075 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 899,8075 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(899,8075) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(899,8075) x common factors =1 x 1 = 1
LCM(899,8075) = ( 899 × 8075 ) / 1
LCM(899,8075) = 7259425 / 1
LCM(899,8075) = 7259425
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1384/899, 3914/8075
1. What is the HCF of 1384,3914?
The HCF of 1384,3914 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 1384/899, 3914/8075?
Answer: GCF of Numerators as per given numbers 1384/899, 3914/8075 is
GCF of Numerators i.e. for 1384,3914 is 2
LCM of denominators i.e. for 899,8075 is 7259425.
Thus, GCF of Fractions is 2/7259425.Finally, GCF of Fractions for 1384/899, 3914/8075 is 2/7259425.