GCD of 749, 687, 131, 320 Calculator

Given Input numbers are 749, 687, 131, 320

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 687 :

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

1, 3, 229, 687

Divisors of 131 :

The positive integer divisors of 131 that completely divides 131 are.

1, 131

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

GCD of numbers is the greatest common divisor

So, the GCD (749, 687, 131, 320) = 1.

Given numbers are 749, 687, 131, 320

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

Prime factors of 687 are 3 x 229

Prime factors of 131 are 131

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

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

Given numbers are 749, 687, 131, 320

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

Apply this formula for all numbers.

Step1:

LCM(749, 687) = 514563

GCD(749, 687) = ( 749 x 687 ) / 514563

= 749 / 687

= 749

Step2:

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

= 1 / 131

= 1

Step3:

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

= 1 / 320

= 1

So, Greatest Common Divisor of 749, 687, 131, 320 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 915, 813, 415, 221
• GCD of 338, 603, 674, 693
• GCD of 428, 329, 945, 854
• GCD of 239, 149, 424, 379
• GCD of 137, 751, 829, 985

Given numbers are 749, 687, 131, 320
The greatest common divisor of numbers 749, 687, 131, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 687, 131, 320 is 1.

1. What is the GCD of 749, 687, 131, 320?

GCD of given numbers 749, 687, 131, 320 is 1

2. How to calculate the greatest common divisor of 749, 687, 131, 320?

We can find the highest common divisor of 749, 687, 131, 320 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, 687, 131, 320 i.e 1.

3. How can I use the GCD of 749, 687, 131, 320Calculator?

Out the numbers 749, 687, 131, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.