GCD of 218, 672, 431, 103 Calculator

Given Input numbers are 218, 672, 431, 103

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

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 431 :

The positive integer divisors of 431 that completely divides 431 are.

1, 431

Divisors of 103 :

The positive integer divisors of 103 that completely divides 103 are.

1, 103

GCD of numbers is the greatest common divisor

So, the GCD (218, 672, 431, 103) = 1.

Given numbers are 218, 672, 431, 103

The list of prime factors of all numbers are

Prime factors of 218 are 2 x 109

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 431 are 431

Prime factors of 103 are 103

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

Given numbers are 218, 672, 431, 103

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

Apply this formula for all numbers.

Step1:

LCM(218, 672) = 73248

GCD(218, 672) = ( 218 x 672 ) / 73248

= 218 / 672

= 218

Step2:

LCM(2, 431) = 862

GCD(2, 431) = ( 2 x 431 ) / 862

= 2 / 431

= 2

Step3:

LCM(1, 103) = 103

GCD(1, 103) = ( 1 x 103 ) / 103

= 1 / 103

= 1

So, Greatest Common Divisor of 218, 672, 431, 103 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 354, 476, 293, 445
• GCD of 711, 743, 610, 280
• GCD of 449, 253, 443, 506
• GCD of 505, 235, 371, 167
• GCD of 698, 109, 273, 508

Given numbers are 218, 672, 431, 103
The greatest common divisor of numbers 218, 672, 431, 103 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 218, 672, 431, 103 is 1.

1. What is the GCD of 218, 672, 431, 103?

GCD of given numbers 218, 672, 431, 103 is 1

2. How to calculate the greatest common divisor of 218, 672, 431, 103?

We can find the highest common divisor of 218, 672, 431, 103 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 218, 672, 431, 103 i.e 1.

3. How can I use the GCD of 218, 672, 431, 103Calculator?

Out the numbers 218, 672, 431, 103 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.