GCD of 687, 468, 144, 892 Calculator

Given Input numbers are 687, 468, 144, 892

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 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

GCD of numbers is the greatest common divisor

So, the GCD (687, 468, 144, 892) = 1.

Given numbers are 687, 468, 144, 892

The list of prime factors of all numbers are

Prime factors of 687 are 3 x 229

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 892 are 2 x 2 x 223

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

Given numbers are 687, 468, 144, 892

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

Apply this formula for all numbers.

Step1:

LCM(687, 468) = 107172

GCD(687, 468) = ( 687 x 468 ) / 107172

= 687 / 468

= 687

Step2:

LCM(3, 144) = 144

GCD(3, 144) = ( 3 x 144 ) / 144

= 3 / 144

= 3

Step3:

LCM(3, 892) = 2676

GCD(3, 892) = ( 3 x 892 ) / 2676

= 3 / 892

= 3

So, Greatest Common Divisor of 687, 468, 144, 892 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 276, 598, 529, 285
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• GCD of 722, 971, 830, 159
• GCD of 492, 354, 602, 379

Given numbers are 687, 468, 144, 892
The greatest common divisor of numbers 687, 468, 144, 892 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 468, 144, 892 is 1.

1. What is the GCD of 687, 468, 144, 892?

GCD of given numbers 687, 468, 144, 892 is 1

2. How to calculate the greatest common divisor of 687, 468, 144, 892?

We can find the highest common divisor of 687, 468, 144, 892 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, 468, 144, 892 i.e 1.

3. How can I use the GCD of 687, 468, 144, 892Calculator?

Out the numbers 687, 468, 144, 892 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.