GCF of 8905/828, 5909/704
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8905/828, 5909/704 i.e 1/145728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8905/828, 5909/704.
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 8905/828,5909/704?
Given fractions are 8905/828,5909/704
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 8905/828,5909/704, numerators are 8905,5909
Denominators are 828,704
The GCF of 8905,5909 is 1 .
LCM of 828,704 is 145728.
The greatest common factor of 8905/828,5909/704 = [GCF of 8905,5909]/[LCM of 828,704]= 1/145728
Therefore, the GCF of 8905/828,5909/704 is 1/145728.
To find the highest common factor of 8905,5909, we have to find the factors of both numbers and list the highest common factor.
The factors of 8905 are 1, 5, 13, 65, 137, 685, 1781, 8905
The factors of 5909 are 1, 19, 311, 5909
The HCF of 8905,5909 is 1.
Lets's calculate GCF of 8905,5909
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8905,5909 By Matching Biggest Common Factor Method
Now, list down the factors of 8905
:1,5,13,65,137,685,1781,8905
Now, list down the factors of 5909
:1,19,311,5909
Greatest Common Factor
We found the factors 8905,5909 . The biggest common factor number is the GCF number.
So the greatest common factor 8905,5909 is 1.
Lets's calculate LCM of 828,704
| 2 | 828, 704 |
| 2 | 414, 352 |
| 207, 176 |
∴ So the LCM of the given numbers is 2 x 2 x 207 x 176 = 145728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145728
Therefore, the GCF of Fractions 8905/828,5909/704 is 1/145728
Least Common Multiple of 828,704 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 828,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,704) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(828,704) x common factors =4 x 1 = 4
LCM(828,704) = ( 828 × 704 ) / 4
LCM(828,704) = 582912 / 4
LCM(828,704) = 145728
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8905/828, 5909/704
1. What is the HCF of 8905,5909?
The HCF of 8905,5909 is 1
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 8905/828, 5909/704?
Answer: GCF of Numerators as per given numbers 8905/828, 5909/704 is
GCF of Numerators i.e. for 8905,5909 is 1
LCM of denominators i.e. for 828,704 is 145728.
Thus, GCF of Fractions is 1/145728.Finally, GCF of Fractions for 8905/828, 5909/704 is 1/145728.