GCD of 755, 692, 680, 300 Calculator

Given Input numbers are 755, 692, 680, 300

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

Divisors of 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (755, 692, 680, 300) = 1.

Given numbers are 755, 692, 680, 300

The list of prime factors of all numbers are

Prime factors of 755 are 5 x 151

Prime factors of 692 are 2 x 2 x 173

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

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

Given numbers are 755, 692, 680, 300

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

Apply this formula for all numbers.

Step1:

LCM(755, 692) = 522460

GCD(755, 692) = ( 755 x 692 ) / 522460

= 755 / 692

= 755

Step2:

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

= 1 / 680

= 1

Step3:

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

= 1 / 300

= 1

So, Greatest Common Divisor of 755, 692, 680, 300 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 171, 804, 955, 298
• GCD of 965, 149, 909, 349
• GCD of 134, 764, 626, 218
• GCD of 507, 820, 208, 653
• GCD of 326, 353, 529, 493

Given numbers are 755, 692, 680, 300
The greatest common divisor of numbers 755, 692, 680, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 755, 692, 680, 300 is 1.

1. What is the GCD of 755, 692, 680, 300?

GCD of given numbers 755, 692, 680, 300 is 1

2. How to calculate the greatest common divisor of 755, 692, 680, 300?

We can find the highest common divisor of 755, 692, 680, 300 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 755, 692, 680, 300 i.e 1.

3. How can I use the GCD of 755, 692, 680, 300Calculator?

Out the numbers 755, 692, 680, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.