GCD of 749, 538, 331, 687 Calculator

Given Input numbers are 749, 538, 331, 687

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

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 331 :

The positive integer divisors of 331 that completely divides 331 are.

1, 331

Divisors of 687 :

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

1, 3, 229, 687

GCD of numbers is the greatest common divisor

So, the GCD (749, 538, 331, 687) = 1.

Given numbers are 749, 538, 331, 687

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

Prime factors of 538 are 2 x 269

Prime factors of 331 are 331

Prime factors of 687 are 3 x 229

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

Given numbers are 749, 538, 331, 687

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

Apply this formula for all numbers.

Step1:

LCM(749, 538) = 402962

GCD(749, 538) = ( 749 x 538 ) / 402962

= 749 / 538

= 749

Step2:

LCM(1, 331) = 331

GCD(1, 331) = ( 1 x 331 ) / 331

= 1 / 331

= 1

Step3:

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

= 1 / 687

= 1

So, Greatest Common Divisor of 749, 538, 331, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 548, 924, 247, 418
• GCD of 108, 161, 623, 323
• GCD of 290, 462, 838, 364
• GCD of 191, 456, 728, 928
• GCD of 771, 687, 964, 654

Given numbers are 749, 538, 331, 687
The greatest common divisor of numbers 749, 538, 331, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 538, 331, 687 is 1.

1. What is the GCD of 749, 538, 331, 687?

GCD of given numbers 749, 538, 331, 687 is 1

2. How to calculate the greatest common divisor of 749, 538, 331, 687?

We can find the highest common divisor of 749, 538, 331, 687 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 749, 538, 331, 687 i.e 1.

3. How can I use the GCD of 749, 538, 331, 687Calculator?

Out the numbers 749, 538, 331, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.