GCF of 3524/541, 2008/9807
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3524/541, 2008/9807 i.e 4/5305587 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3524/541, 2008/9807.
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 3524/541,2008/9807?
Given fractions are 3524/541,2008/9807
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 3524/541,2008/9807, numerators are 3524,2008
Denominators are 541,9807
The GCF of 3524,2008 is 4 .
LCM of 541,9807 is 5305587.
The greatest common factor of 3524/541,2008/9807 = [GCF of 3524,2008]/[LCM of 541,9807]= 4/5305587
Therefore, the GCF of 3524/541,2008/9807 is 4/5305587.
To find the highest common factor of 3524,2008, we have to find the factors of both numbers and list the highest common factor.
The factors of 3524 are 1, 2, 4, 881, 1762, 3524
The factors of 2008 are 1, 2, 4, 8, 251, 502, 1004, 2008
The HCF of 3524,2008 is 4.
Lets's calculate GCF of 3524,2008
| 2 | 3524, 2008 |
| 2 | 1762, 1004 |
| 881, 502 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3524,2008 By Matching Biggest Common Factor Method
Now, list down the factors of 3524
:1,2,4,881,1762,3524
Now, list down the factors of 2008
:1,2,4,8,251,502,1004,2008
Greatest Common Factor
We found the factors 3524,2008 . The biggest common factor number is the GCF number.
So the greatest common factor 3524,2008 is 4.
Lets's calculate LCM of 541,9807
Given numbers has no common factors except 1. So, there LCM is their product i.e 5305587
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5305587
Therefore, the GCF of Fractions 3524/541,2008/9807 is 4/5305587
Least Common Multiple of 541,9807 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 541,9807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(541,9807) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(541,9807) x common factors =1 x 1 = 1
LCM(541,9807) = ( 541 × 9807 ) / 1
LCM(541,9807) = 5305587 / 1
LCM(541,9807) = 5305587
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3524/541, 2008/9807
1. What is the HCF of 3524,2008?
The HCF of 3524,2008 is 4
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 3524/541, 2008/9807?
Answer: GCF of Numerators as per given numbers 3524/541, 2008/9807 is
GCF of Numerators i.e. for 3524,2008 is 4
LCM of denominators i.e. for 541,9807 is 5305587.
Thus, GCF of Fractions is 4/5305587.Finally, GCF of Fractions for 3524/541, 2008/9807 is 4/5305587.