GCF of 4529/601, 8885/5288
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4529/601, 8885/5288 i.e 1/3178088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4529/601, 8885/5288.
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 4529/601,8885/5288?
Given fractions are 4529/601,8885/5288
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 4529/601,8885/5288, numerators are 4529,8885
Denominators are 601,5288
The GCF of 4529,8885 is 1 .
LCM of 601,5288 is 3178088.
The greatest common factor of 4529/601,8885/5288 = [GCF of 4529,8885]/[LCM of 601,5288]= 1/3178088
Therefore, the GCF of 4529/601,8885/5288 is 1/3178088.
To find the highest common factor of 4529,8885, we have to find the factors of both numbers and list the highest common factor.
The factors of 4529 are 1, 7, 647, 4529
The factors of 8885 are 1, 5, 1777, 8885
The HCF of 4529,8885 is 1.
Lets's calculate GCF of 4529,8885
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4529,8885 By Matching Biggest Common Factor Method
Now, list down the factors of 4529
:1,7,647,4529
Now, list down the factors of 8885
:1,5,1777,8885
Greatest Common Factor
We found the factors 4529,8885 . The biggest common factor number is the GCF number.
So the greatest common factor 4529,8885 is 1.
Lets's calculate LCM of 601,5288
Given numbers has no common factors except 1. So, there LCM is their product i.e 3178088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3178088
Therefore, the GCF of Fractions 4529/601,8885/5288 is 1/3178088
Least Common Multiple of 601,5288 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 601,5288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(601,5288) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(601,5288) x common factors =1 x 1 = 1
LCM(601,5288) = ( 601 × 5288 ) / 1
LCM(601,5288) = 3178088 / 1
LCM(601,5288) = 3178088
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4529/601, 8885/5288
1. What is the HCF of 4529,8885?
The HCF of 4529,8885 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 4529/601, 8885/5288?
Answer: GCF of Numerators as per given numbers 4529/601, 8885/5288 is
GCF of Numerators i.e. for 4529,8885 is 1
LCM of denominators i.e. for 601,5288 is 3178088.
Thus, GCF of Fractions is 1/3178088.Finally, GCF of Fractions for 4529/601, 8885/5288 is 1/3178088.