GCD of 689, 705, 176, 428 Calculator

Given Input numbers are 689, 705, 176, 428

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 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (689, 705, 176, 428) = 1.

Given numbers are 689, 705, 176, 428

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 705 are 3 x 5 x 47

Prime factors of 176 are 2 x 2 x 2 x 2 x 11

Prime factors of 428 are 2 x 2 x 107

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

Given numbers are 689, 705, 176, 428

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

Apply this formula for all numbers.

Step1:

LCM(689, 705) = 485745

GCD(689, 705) = ( 689 x 705 ) / 485745

= 689 / 705

= 689

Step2:

LCM(1, 176) = 176

GCD(1, 176) = ( 1 x 176 ) / 176

= 1 / 176

= 1

Step3:

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

= 1 / 428

= 1

So, Greatest Common Divisor of 689, 705, 176, 428 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 883, 171, 495, 553
• GCD of 670, 722, 408, 597
• GCD of 771, 189, 223, 677
• GCD of 760, 182, 522, 584
• GCD of 399, 167, 920, 115

Given numbers are 689, 705, 176, 428
The greatest common divisor of numbers 689, 705, 176, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 705, 176, 428 is 1.

1. What is the GCD of 689, 705, 176, 428?

GCD of given numbers 689, 705, 176, 428 is 1

2. How to calculate the greatest common divisor of 689, 705, 176, 428?

We can find the highest common divisor of 689, 705, 176, 428 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, 705, 176, 428 i.e 1.

3. How can I use the GCD of 689, 705, 176, 428Calculator?

Out the numbers 689, 705, 176, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.