GCD of 689, 829, 700, 622 Calculator

Given Input numbers are 689, 829, 700, 622

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 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 622 :

The positive integer divisors of 622 that completely divides 622 are.

1, 2, 311, 622

GCD of numbers is the greatest common divisor

So, the GCD (689, 829, 700, 622) = 1.

Given numbers are 689, 829, 700, 622

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 829 are 829

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 622 are 2 x 311

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

Given numbers are 689, 829, 700, 622

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

Apply this formula for all numbers.

Step1:

LCM(689, 829) = 571181

GCD(689, 829) = ( 689 x 829 ) / 571181

= 689 / 829

= 689

Step2:

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

= 1 / 700

= 1

Step3:

LCM(1, 622) = 622

GCD(1, 622) = ( 1 x 622 ) / 622

= 1 / 622

= 1

So, Greatest Common Divisor of 689, 829, 700, 622 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 222, 168, 456, 354
• GCD of 564, 778, 167, 648
• GCD of 783, 174, 550, 398
• GCD of 958, 928, 117, 183
• GCD of 299, 364, 974, 420

Given numbers are 689, 829, 700, 622
The greatest common divisor of numbers 689, 829, 700, 622 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 829, 700, 622 is 1.

1. What is the GCD of 689, 829, 700, 622?

GCD of given numbers 689, 829, 700, 622 is 1

2. How to calculate the greatest common divisor of 689, 829, 700, 622?

We can find the highest common divisor of 689, 829, 700, 622 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, 829, 700, 622 i.e 1.

3. How can I use the GCD of 689, 829, 700, 622Calculator?

Out the numbers 689, 829, 700, 622 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.