Online GCD Calculator is useful to find the GCD of 524, 364, 731, 546 quickly. Get the easiest ways to solve the greatest common divisor of 524, 364, 731, 546 i.e 1 in different methods as follows.
Given Input numbers are 524, 364, 731, 546
In the factoring method, we have to find the divisors of all numbers
Divisors of 524 :
The positive integer divisors of 524 that completely divides 524 are.
1, 2, 4, 131, 262, 524
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
Divisors of 546 :
The positive integer divisors of 546 that completely divides 546 are.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
GCD of numbers is the greatest common divisor
So, the GCD (524, 364, 731, 546) = 1.
Given numbers are 524, 364, 731, 546
The list of prime factors of all numbers are
Prime factors of 524 are 2 x 2 x 131
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 731 are 17 x 43
Prime factors of 546 are 2 x 3 x 7 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 524, 364, 731, 546
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(524, 364) = 47684
GCD(524, 364) = ( 524 x 364 ) / 47684
= 524 / 364
= 524
Step2:
LCM(4, 731) = 2924
GCD(4, 731) = ( 4 x 731 ) / 2924
= 4 / 731
= 4
Step3:
LCM(1, 546) = 546
GCD(1, 546) = ( 1 x 546 ) / 546
= 1 / 546
= 1
So, Greatest Common Divisor of 524, 364, 731, 546 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 524, 364, 731, 546
The greatest common divisor of numbers 524, 364, 731, 546 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 524, 364, 731, 546 is 1.
1. What is the GCD of 524, 364, 731, 546?
GCD of given numbers 524, 364, 731, 546 is 1
2. How to calculate the greatest common divisor of 524, 364, 731, 546?
We can find the highest common divisor of 524, 364, 731, 546 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 524, 364, 731, 546 i.e 1.
3. How can I use the GCD of 524, 364, 731, 546Calculator?
Out the numbers 524, 364, 731, 546 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.