GCD of 689, 448, 355, 424 Calculator

Given Input numbers are 689, 448, 355, 424

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 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

GCD of numbers is the greatest common divisor

So, the GCD (689, 448, 355, 424) = 1.

Given numbers are 689, 448, 355, 424

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 355 are 5 x 71

Prime factors of 424 are 2 x 2 x 2 x 53

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

Given numbers are 689, 448, 355, 424

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

Apply this formula for all numbers.

Step1:

LCM(689, 448) = 308672

GCD(689, 448) = ( 689 x 448 ) / 308672

= 689 / 448

= 689

Step2:

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

= 1 / 355

= 1

Step3:

LCM(1, 424) = 424

GCD(1, 424) = ( 1 x 424 ) / 424

= 1 / 424

= 1

So, Greatest Common Divisor of 689, 448, 355, 424 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 382, 700, 309, 661
• GCD of 419, 956, 454, 642
• GCD of 743, 417, 433, 638
• GCD of 216, 502, 509, 155
• GCD of 271, 462, 106, 674

Given numbers are 689, 448, 355, 424
The greatest common divisor of numbers 689, 448, 355, 424 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 448, 355, 424 is 1.

1. What is the GCD of 689, 448, 355, 424?

GCD of given numbers 689, 448, 355, 424 is 1

2. How to calculate the greatest common divisor of 689, 448, 355, 424?

We can find the highest common divisor of 689, 448, 355, 424 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, 448, 355, 424 i.e 1.

3. How can I use the GCD of 689, 448, 355, 424Calculator?

Out the numbers 689, 448, 355, 424 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.