Online GCD Calculator is useful to find the GCD of 584, 534, 682, 362 quickly. Get the easiest ways to solve the greatest common divisor of 584, 534, 682, 362 i.e 2 in different methods as follows.
Given Input numbers are 584, 534, 682, 362
In the factoring method, we have to find the divisors of all numbers
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 534 :
The positive integer divisors of 534 that completely divides 534 are.
1, 2, 3, 6, 89, 178, 267, 534
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
GCD of numbers is the greatest common divisor
So, the GCD (584, 534, 682, 362) = 2.
Given numbers are 584, 534, 682, 362
The list of prime factors of all numbers are
Prime factors of 584 are 2 x 2 x 2 x 73
Prime factors of 534 are 2 x 3 x 89
Prime factors of 682 are 2 x 11 x 31
Prime factors of 362 are 2 x 181
The highest common occurrence is 21
Therefore, GCD of 584, 534, 682, 362 is 2.
Given numbers are 584, 534, 682, 362
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(584, 534) = 155928
GCD(584, 534) = ( 584 x 534 ) / 155928
= 584 / 534
= 584
Step2:
LCM(2, 682) = 682
GCD(2, 682) = ( 2 x 682 ) / 682
= 2 / 682
= 2
Step3:
LCM(2, 362) = 362
GCD(2, 362) = ( 2 x 362 ) / 362
= 2 / 362
= 2
So, Greatest Common Divisor of 584, 534, 682, 362 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 584, 534, 682, 362
The greatest common divisor of numbers 584, 534, 682, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 534, 682, 362 is 2.
1. What is the GCD of 584, 534, 682, 362?
GCD of given numbers 584, 534, 682, 362 is 2
2. How to calculate the greatest common divisor of 584, 534, 682, 362?
We can find the highest common divisor of 584, 534, 682, 362 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 584, 534, 682, 362 i.e 2.
3. How can I use the GCD of 584, 534, 682, 362Calculator?
Out the numbers 584, 534, 682, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.