GCD of 689, 452, 392, 749 Calculator

Given Input numbers are 689, 452, 392, 749

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

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 749 :

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

1, 7, 107, 749

GCD of numbers is the greatest common divisor

So, the GCD (689, 452, 392, 749) = 1.

Given numbers are 689, 452, 392, 749

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 452 are 2 x 2 x 113

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 749 are 7 x 107

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

Given numbers are 689, 452, 392, 749

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

Apply this formula for all numbers.

Step1:

LCM(689, 452) = 311428

GCD(689, 452) = ( 689 x 452 ) / 311428

= 689 / 452

= 689

Step2:

LCM(1, 392) = 392

GCD(1, 392) = ( 1 x 392 ) / 392

= 1 / 392

= 1

Step3:

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

= 1 / 749

= 1

So, Greatest Common Divisor of 689, 452, 392, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 111, 254, 562, 597
• GCD of 854, 304, 460, 251
• GCD of 822, 384, 560, 124
• GCD of 105, 952, 494, 351
• GCD of 739, 670, 154, 402

Given numbers are 689, 452, 392, 749
The greatest common divisor of numbers 689, 452, 392, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 452, 392, 749 is 1.

1. What is the GCD of 689, 452, 392, 749?

GCD of given numbers 689, 452, 392, 749 is 1

2. How to calculate the greatest common divisor of 689, 452, 392, 749?

We can find the highest common divisor of 689, 452, 392, 749 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 689, 452, 392, 749 i.e 1.

3. How can I use the GCD of 689, 452, 392, 749Calculator?

Out the numbers 689, 452, 392, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.