GCD of 364, 692, 290, 838 Calculator

Given Input numbers are 364, 692, 290, 838

In the factoring method, we have to find the divisors of all numbers

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 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

GCD of numbers is the greatest common divisor

So, the GCD (364, 692, 290, 838) = 2.

Given numbers are 364, 692, 290, 838

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 692 are 2 x 2 x 173

Prime factors of 290 are 2 x 5 x 29

Prime factors of 838 are 2 x 419

The highest common occurrence is 2¹

Therefore, GCD of 364, 692, 290, 838 is 2.

Given numbers are 364, 692, 290, 838

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(364, 692) = 62972

GCD(364, 692) = ( 364 x 692 ) / 62972

= 364 / 692

= 364

Step2:

LCM(4, 290) = 580

GCD(4, 290) = ( 4 x 290 ) / 580

= 4 / 290

= 4

Step3:

LCM(2, 838) = 838

GCD(2, 838) = ( 2 x 838 ) / 838

= 2 / 838

= 2

So, Greatest Common Divisor of 364, 692, 290, 838 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 627, 737, 466, 490
• GCD of 478, 118, 285, 508
• GCD of 322, 893, 402, 345
• GCD of 483, 768, 676, 204
• GCD of 744, 880, 728, 307

Given numbers are 364, 692, 290, 838
The greatest common divisor of numbers 364, 692, 290, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 692, 290, 838 is 2.

1. What is the GCD of 364, 692, 290, 838?

GCD of given numbers 364, 692, 290, 838 is 2

2. How to calculate the greatest common divisor of 364, 692, 290, 838?

We can find the highest common divisor of 364, 692, 290, 838 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 364, 692, 290, 838 i.e 2.

3. How can I use the GCD of 364, 692, 290, 838Calculator?

Out the numbers 364, 692, 290, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.