GCD of 692, 123, 208, 434 Calculator

Given Input numbers are 692, 123, 208, 434

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

Divisors of 692 :

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

1, 2, 4, 173, 346, 692

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

GCD of numbers is the greatest common divisor

So, the GCD (692, 123, 208, 434) = 1.

Given numbers are 692, 123, 208, 434

The list of prime factors of all numbers are

Prime factors of 692 are 2 x 2 x 173

Prime factors of 123 are 3 x 41

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 434 are 2 x 7 x 31

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

Given numbers are 692, 123, 208, 434

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

Apply this formula for all numbers.

Step1:

LCM(692, 123) = 85116

GCD(692, 123) = ( 692 x 123 ) / 85116

= 692 / 123

= 692

Step2:

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

= 1 / 208

= 1

Step3:

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

= 1 / 434

= 1

So, Greatest Common Divisor of 692, 123, 208, 434 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 996, 652, 491, 212
• GCD of 757, 432, 604, 669
• GCD of 212, 712, 504, 592
• GCD of 181, 250, 861, 565
• GCD of 891, 414, 740, 669

Given numbers are 692, 123, 208, 434
The greatest common divisor of numbers 692, 123, 208, 434 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 692, 123, 208, 434 is 1.

1. What is the GCD of 692, 123, 208, 434?

GCD of given numbers 692, 123, 208, 434 is 1

2. How to calculate the greatest common divisor of 692, 123, 208, 434?

We can find the highest common divisor of 692, 123, 208, 434 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 692, 123, 208, 434 i.e 1.

3. How can I use the GCD of 692, 123, 208, 434Calculator?

Out the numbers 692, 123, 208, 434 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.