GCD of 149, 738, 653, 689 Calculator

Given Input numbers are 149, 738, 653, 689

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

Divisors of 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 653 :

The positive integer divisors of 653 that completely divides 653 are.

1, 653

Divisors of 689 :

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

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (149, 738, 653, 689) = 1.

Given numbers are 149, 738, 653, 689

The list of prime factors of all numbers are

Prime factors of 149 are 149

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 653 are 653

Prime factors of 689 are 13 x 53

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

Given numbers are 149, 738, 653, 689

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

Apply this formula for all numbers.

Step1:

LCM(149, 738) = 109962

GCD(149, 738) = ( 149 x 738 ) / 109962

= 149 / 738

= 149

Step2:

LCM(1, 653) = 653

GCD(1, 653) = ( 1 x 653 ) / 653

= 1 / 653

= 1

Step3:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1

So, Greatest Common Divisor of 149, 738, 653, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 104, 365, 862, 769
• GCD of 433, 710, 901, 295
• GCD of 206, 914, 976, 523
• GCD of 595, 731, 586, 670
• GCD of 556, 611, 596, 565

Given numbers are 149, 738, 653, 689
The greatest common divisor of numbers 149, 738, 653, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 149, 738, 653, 689 is 1.

1. What is the GCD of 149, 738, 653, 689?

GCD of given numbers 149, 738, 653, 689 is 1

2. How to calculate the greatest common divisor of 149, 738, 653, 689?

We can find the highest common divisor of 149, 738, 653, 689 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 149, 738, 653, 689 i.e 1.

3. How can I use the GCD of 149, 738, 653, 689Calculator?

Out the numbers 149, 738, 653, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.