GCD of 538, 628, 700, 689 Calculator

Given Input numbers are 538, 628, 700, 689

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

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

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 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (538, 628, 700, 689) = 1.

Given numbers are 538, 628, 700, 689

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 628 are 2 x 2 x 157

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

Prime factors of 689 are 13 x 53

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

Given numbers are 538, 628, 700, 689

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

Apply this formula for all numbers.

Step1:

LCM(538, 628) = 168932

GCD(538, 628) = ( 538 x 628 ) / 168932

= 538 / 628

= 538

Step2:

LCM(2, 700) = 700

GCD(2, 700) = ( 2 x 700 ) / 700

= 2 / 700

= 2

Step3:

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

= 2 / 689

= 2

So, Greatest Common Divisor of 538, 628, 700, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 296, 349, 924, 884
• GCD of 582, 683, 983, 319
• GCD of 307, 554, 562, 788
• GCD of 163, 387, 787, 354
• GCD of 580, 418, 706, 108

Given numbers are 538, 628, 700, 689
The greatest common divisor of numbers 538, 628, 700, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 628, 700, 689 is 1.

1. What is the GCD of 538, 628, 700, 689?

GCD of given numbers 538, 628, 700, 689 is 1

2. How to calculate the greatest common divisor of 538, 628, 700, 689?

We can find the highest common divisor of 538, 628, 700, 689 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 538, 628, 700, 689 i.e 1.

3. How can I use the GCD of 538, 628, 700, 689Calculator?

Out the numbers 538, 628, 700, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.