GCD of 689, 731, 275, 438 Calculator

Given Input numbers are 689, 731, 275, 438

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 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 275 :

The positive integer divisors of 275 that completely divides 275 are.

1, 5, 11, 25, 55, 275

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

GCD of numbers is the greatest common divisor

So, the GCD (689, 731, 275, 438) = 1.

Given numbers are 689, 731, 275, 438

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 731 are 17 x 43

Prime factors of 275 are 5 x 5 x 11

Prime factors of 438 are 2 x 3 x 73

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

Given numbers are 689, 731, 275, 438

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

Apply this formula for all numbers.

Step1:

LCM(689, 731) = 503659

GCD(689, 731) = ( 689 x 731 ) / 503659

= 689 / 731

= 689

Step2:

LCM(1, 275) = 275

GCD(1, 275) = ( 1 x 275 ) / 275

= 1 / 275

= 1

Step3:

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

= 1 / 438

= 1

So, Greatest Common Divisor of 689, 731, 275, 438 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 535, 106, 127, 153
• GCD of 759, 827, 817, 814
• GCD of 490, 957, 461, 894
• GCD of 145, 313, 230, 101
• GCD of 219, 534, 562, 423

Given numbers are 689, 731, 275, 438
The greatest common divisor of numbers 689, 731, 275, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 731, 275, 438 is 1.

1. What is the GCD of 689, 731, 275, 438?

GCD of given numbers 689, 731, 275, 438 is 1

2. How to calculate the greatest common divisor of 689, 731, 275, 438?

We can find the highest common divisor of 689, 731, 275, 438 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, 731, 275, 438 i.e 1.

3. How can I use the GCD of 689, 731, 275, 438Calculator?

Out the numbers 689, 731, 275, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.