GCD of 687, 552, 224, 644 Calculator

Given Input numbers are 687, 552, 224, 644

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

Divisors of 687 :

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

1, 3, 229, 687

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

GCD of numbers is the greatest common divisor

So, the GCD (687, 552, 224, 644) = 1.

Given numbers are 687, 552, 224, 644

The list of prime factors of all numbers are

Prime factors of 687 are 3 x 229

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 644 are 2 x 2 x 7 x 23

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

Given numbers are 687, 552, 224, 644

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

Apply this formula for all numbers.

Step1:

LCM(687, 552) = 126408

GCD(687, 552) = ( 687 x 552 ) / 126408

= 687 / 552

= 687

Step2:

LCM(3, 224) = 672

GCD(3, 224) = ( 3 x 224 ) / 672

= 3 / 224

= 3

Step3:

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

= 1 / 644

= 1

So, Greatest Common Divisor of 687, 552, 224, 644 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 480, 700, 696, 431
• GCD of 533, 160, 427, 532
• GCD of 118, 688, 139, 196
• GCD of 855, 117, 502, 218
• GCD of 705, 766, 768, 446

Given numbers are 687, 552, 224, 644
The greatest common divisor of numbers 687, 552, 224, 644 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 552, 224, 644 is 1.

1. What is the GCD of 687, 552, 224, 644?

GCD of given numbers 687, 552, 224, 644 is 1

2. How to calculate the greatest common divisor of 687, 552, 224, 644?

We can find the highest common divisor of 687, 552, 224, 644 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 687, 552, 224, 644 i.e 1.

3. How can I use the GCD of 687, 552, 224, 644Calculator?

Out the numbers 687, 552, 224, 644 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.