GCF of 5825/461, 1003/4936
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5825/461, 1003/4936 i.e 1/2275496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5825/461, 1003/4936.
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 5825/461,1003/4936?
Given fractions are 5825/461,1003/4936
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 5825/461,1003/4936, numerators are 5825,1003
Denominators are 461,4936
The GCF of 5825,1003 is 1 .
LCM of 461,4936 is 2275496.
The greatest common factor of 5825/461,1003/4936 = [GCF of 5825,1003]/[LCM of 461,4936]= 1/2275496
Therefore, the GCF of 5825/461,1003/4936 is 1/2275496.
To find the highest common factor of 5825,1003, we have to find the factors of both numbers and list the highest common factor.
The factors of 5825 are 1, 5, 25, 233, 1165, 5825
The factors of 1003 are 1, 17, 59, 1003
The HCF of 5825,1003 is 1.
Lets's calculate GCF of 5825,1003
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5825,1003 By Matching Biggest Common Factor Method
Now, list down the factors of 5825
:1,5,25,233,1165,5825
Now, list down the factors of 1003
:1,17,59,1003
Greatest Common Factor
We found the factors 5825,1003 . The biggest common factor number is the GCF number.
So the greatest common factor 5825,1003 is 1.
Lets's calculate LCM of 461,4936
Given numbers has no common factors except 1. So, there LCM is their product i.e 2275496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2275496
Therefore, the GCF of Fractions 5825/461,1003/4936 is 1/2275496
Least Common Multiple of 461,4936 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 461,4936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(461,4936) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(461,4936) x common factors =1 x 1 = 1
LCM(461,4936) = ( 461 × 4936 ) / 1
LCM(461,4936) = 2275496 / 1
LCM(461,4936) = 2275496
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5825/461, 1003/4936
1. What is the HCF of 5825,1003?
The HCF of 5825,1003 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 5825/461, 1003/4936?
Answer: GCF of Numerators as per given numbers 5825/461, 1003/4936 is
GCF of Numerators i.e. for 5825,1003 is 1
LCM of denominators i.e. for 461,4936 is 2275496.
Thus, GCF of Fractions is 1/2275496.Finally, GCF of Fractions for 5825/461, 1003/4936 is 1/2275496.