GCD of 494, 221, 544, 692 Calculator

Given Input numbers are 494, 221, 544, 692

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

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 544 :

The positive integer divisors of 544 that completely divides 544 are.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 692 :

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

1, 2, 4, 173, 346, 692

GCD of numbers is the greatest common divisor

So, the GCD (494, 221, 544, 692) = 1.

Given numbers are 494, 221, 544, 692

The list of prime factors of all numbers are

Prime factors of 494 are 2 x 13 x 19

Prime factors of 221 are 13 x 17

Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17

Prime factors of 692 are 2 x 2 x 173

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

Given numbers are 494, 221, 544, 692

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

Apply this formula for all numbers.

Step1:

LCM(494, 221) = 8398

GCD(494, 221) = ( 494 x 221 ) / 8398

= 494 / 221

= 494

Step2:

LCM(13, 544) = 7072

GCD(13, 544) = ( 13 x 544 ) / 7072

= 13 / 544

= 13

Step3:

LCM(1, 692) = 692

GCD(1, 692) = ( 1 x 692 ) / 692

= 1 / 692

= 1

So, Greatest Common Divisor of 494, 221, 544, 692 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 466, 163, 584, 581
• GCD of 400, 253, 454, 347
• GCD of 637, 105, 628, 199
• GCD of 376, 322, 847, 789
• GCD of 817, 953, 736, 682

Given numbers are 494, 221, 544, 692
The greatest common divisor of numbers 494, 221, 544, 692 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 221, 544, 692 is 1.

1. What is the GCD of 494, 221, 544, 692?

GCD of given numbers 494, 221, 544, 692 is 1

2. How to calculate the greatest common divisor of 494, 221, 544, 692?

We can find the highest common divisor of 494, 221, 544, 692 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 494, 221, 544, 692 i.e 1.

3. How can I use the GCD of 494, 221, 544, 692Calculator?

Out the numbers 494, 221, 544, 692 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.