GCD of 361, 574, 938, 496 Calculator

Given Input numbers are 361, 574, 938, 496

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

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

GCD of numbers is the greatest common divisor

So, the GCD (361, 574, 938, 496) = 1.

Given numbers are 361, 574, 938, 496

The list of prime factors of all numbers are

Prime factors of 361 are 19 x 19

Prime factors of 574 are 2 x 7 x 41

Prime factors of 938 are 2 x 7 x 67

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 361, 574, 938, 496

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

Apply this formula for all numbers.

Step1:

LCM(361, 574) = 207214

GCD(361, 574) = ( 361 x 574 ) / 207214

= 361 / 574

= 361

Step2:

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

= 1 / 938

= 1

Step3:

LCM(1, 496) = 496

GCD(1, 496) = ( 1 x 496 ) / 496

= 1 / 496

= 1

So, Greatest Common Divisor of 361, 574, 938, 496 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 384, 680, 835, 632
• GCD of 174, 321, 441, 477
• GCD of 126, 220, 143, 925
• GCD of 741, 889, 172, 508
• GCD of 447, 812, 676, 198

Given numbers are 361, 574, 938, 496
The greatest common divisor of numbers 361, 574, 938, 496 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 361, 574, 938, 496 is 1.

1. What is the GCD of 361, 574, 938, 496?

GCD of given numbers 361, 574, 938, 496 is 1

2. How to calculate the greatest common divisor of 361, 574, 938, 496?

We can find the highest common divisor of 361, 574, 938, 496 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 361, 574, 938, 496 i.e 1.

3. How can I use the GCD of 361, 574, 938, 496Calculator?

Out the numbers 361, 574, 938, 496 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.