GCF of 7413/516, 3598/2364
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7413/516, 3598/2364 i.e 7/101652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7413/516, 3598/2364.
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 7413/516,3598/2364?
Given fractions are 7413/516,3598/2364
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 7413/516,3598/2364, numerators are 7413,3598
Denominators are 516,2364
The GCF of 7413,3598 is 7 .
LCM of 516,2364 is 101652.
The greatest common factor of 7413/516,3598/2364 = [GCF of 7413,3598]/[LCM of 516,2364]= 7/101652
Therefore, the GCF of 7413/516,3598/2364 is 7/101652.
To find the highest common factor of 7413,3598, we have to find the factors of both numbers and list the highest common factor.
The factors of 7413 are 1, 3, 7, 21, 353, 1059, 2471, 7413
The factors of 3598 are 1, 2, 7, 14, 257, 514, 1799, 3598
The HCF of 7413,3598 is 7.
Lets's calculate GCF of 7413,3598
| 7 | 7413, 3598 |
| 1059, 514 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 7413,3598 By Matching Biggest Common Factor Method
Now, list down the factors of 7413
:1,3,7,21,353,1059,2471,7413
Now, list down the factors of 3598
:1,2,7,14,257,514,1799,3598
Greatest Common Factor
We found the factors 7413,3598 . The biggest common factor number is the GCF number.
So the greatest common factor 7413,3598 is 7.
Lets's calculate LCM of 516,2364
| 2 | 516, 2364 |
| 2 | 258, 1182 |
| 3 | 129, 591 |
| 43, 197 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 43 x 197 = 101652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/101652
Therefore, the GCF of Fractions 7413/516,3598/2364 is 7/101652
Least Common Multiple of 516,2364 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 516,2364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,2364) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(516,2364) x common factors =12 x 1 = 12
LCM(516,2364) = ( 516 × 2364 ) / 12
LCM(516,2364) = 1219824 / 12
LCM(516,2364) = 101652
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7413/516, 3598/2364
1. What is the HCF of 7413,3598?
The HCF of 7413,3598 is 7
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 7413/516, 3598/2364?
Answer: GCF of Numerators as per given numbers 7413/516, 3598/2364 is
GCF of Numerators i.e. for 7413,3598 is 7
LCM of denominators i.e. for 516,2364 is 101652.
Thus, GCF of Fractions is 7/101652.Finally, GCF of Fractions for 7413/516, 3598/2364 is 7/101652.