GCD of 676, 200, 687, 432 Calculator

Given Input numbers are 676, 200, 687, 432

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

GCD of numbers is the greatest common divisor

So, the GCD (676, 200, 687, 432) = 1.

Given numbers are 676, 200, 687, 432

The list of prime factors of all numbers are

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 687 are 3 x 229

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Given numbers are 676, 200, 687, 432

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

Apply this formula for all numbers.

Step1:

LCM(676, 200) = 33800

GCD(676, 200) = ( 676 x 200 ) / 33800

= 676 / 200

= 676

Step2:

LCM(4, 687) = 2748

GCD(4, 687) = ( 4 x 687 ) / 2748

= 4 / 687

= 4

Step3:

LCM(1, 432) = 432

GCD(1, 432) = ( 1 x 432 ) / 432

= 1 / 432

= 1

So, Greatest Common Divisor of 676, 200, 687, 432 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 966, 321, 120, 240
• GCD of 523, 937, 248, 931
• GCD of 430, 612, 796, 814
• GCD of 777, 645, 689, 600
• GCD of 608, 966, 121, 437

Given numbers are 676, 200, 687, 432
The greatest common divisor of numbers 676, 200, 687, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 200, 687, 432 is 1.

1. What is the GCD of 676, 200, 687, 432?

GCD of given numbers 676, 200, 687, 432 is 1

2. How to calculate the greatest common divisor of 676, 200, 687, 432?

We can find the highest common divisor of 676, 200, 687, 432 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 676, 200, 687, 432 i.e 1.

3. How can I use the GCD of 676, 200, 687, 432Calculator?

Out the numbers 676, 200, 687, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.