Online GCD Calculator is useful to find the GCD of 598, 780, 532, 652 quickly. Get the easiest ways to solve the greatest common divisor of 598, 780, 532, 652 i.e 2 in different methods as follows.
Given Input numbers are 598, 780, 532, 652
In the factoring method, we have to find the divisors of all numbers
Divisors of 598 :
The positive integer divisors of 598 that completely divides 598 are.
1, 2, 13, 23, 26, 46, 299, 598
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 532 :
The positive integer divisors of 532 that completely divides 532 are.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 652 :
The positive integer divisors of 652 that completely divides 652 are.
1, 2, 4, 163, 326, 652
GCD of numbers is the greatest common divisor
So, the GCD (598, 780, 532, 652) = 2.
Given numbers are 598, 780, 532, 652
The list of prime factors of all numbers are
Prime factors of 598 are 2 x 13 x 23
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 532 are 2 x 2 x 7 x 19
Prime factors of 652 are 2 x 2 x 163
The highest common occurrence is 21
Therefore, GCD of 598, 780, 532, 652 is 2.
Given numbers are 598, 780, 532, 652
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(598, 780) = 17940
GCD(598, 780) = ( 598 x 780 ) / 17940
= 598 / 780
= 598
Step2:
LCM(26, 532) = 6916
GCD(26, 532) = ( 26 x 532 ) / 6916
= 26 / 532
= 26
Step3:
LCM(2, 652) = 652
GCD(2, 652) = ( 2 x 652 ) / 652
= 2 / 652
= 2
So, Greatest Common Divisor of 598, 780, 532, 652 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 598, 780, 532, 652
The greatest common divisor of numbers 598, 780, 532, 652 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 598, 780, 532, 652 is 2.
1. What is the GCD of 598, 780, 532, 652?
GCD of given numbers 598, 780, 532, 652 is 2
2. How to calculate the greatest common divisor of 598, 780, 532, 652?
We can find the highest common divisor of 598, 780, 532, 652 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 598, 780, 532, 652 i.e 2.
3. How can I use the GCD of 598, 780, 532, 652Calculator?
Out the numbers 598, 780, 532, 652 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.