GCD of 209, 696, 642, 461 Calculator

Given Input numbers are 209, 696, 642, 461

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

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461

GCD of numbers is the greatest common divisor

So, the GCD (209, 696, 642, 461) = 1.

Given numbers are 209, 696, 642, 461

The list of prime factors of all numbers are

Prime factors of 209 are 11 x 19

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 642 are 2 x 3 x 107

Prime factors of 461 are 461

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

Given numbers are 209, 696, 642, 461

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

Apply this formula for all numbers.

Step1:

LCM(209, 696) = 145464

GCD(209, 696) = ( 209 x 696 ) / 145464

= 209 / 696

= 209

Step2:

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

= 1 / 642

= 1

Step3:

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

= 1 / 461

= 1

So, Greatest Common Divisor of 209, 696, 642, 461 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 566, 391, 236, 188
• GCD of 914, 942, 188, 122
• GCD of 803, 840, 454, 416
• GCD of 506, 244, 482, 936
• GCD of 940, 309, 713, 805

Given numbers are 209, 696, 642, 461
The greatest common divisor of numbers 209, 696, 642, 461 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 209, 696, 642, 461 is 1.

1. What is the GCD of 209, 696, 642, 461?

GCD of given numbers 209, 696, 642, 461 is 1

2. How to calculate the greatest common divisor of 209, 696, 642, 461?

We can find the highest common divisor of 209, 696, 642, 461 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 209, 696, 642, 461 i.e 1.

3. How can I use the GCD of 209, 696, 642, 461Calculator?

Out the numbers 209, 696, 642, 461 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.