GCD of 689, 836, 214, 755 Calculator

Given Input numbers are 689, 836, 214, 755

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 836 :

The positive integer divisors of 836 that completely divides 836 are.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

GCD of numbers is the greatest common divisor

So, the GCD (689, 836, 214, 755) = 1.

Given numbers are 689, 836, 214, 755

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 836 are 2 x 2 x 11 x 19

Prime factors of 214 are 2 x 107

Prime factors of 755 are 5 x 151

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

Given numbers are 689, 836, 214, 755

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

Apply this formula for all numbers.

Step1:

LCM(689, 836) = 576004

GCD(689, 836) = ( 689 x 836 ) / 576004

= 689 / 836

= 689

Step2:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1

Step3:

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

= 1 / 755

= 1

So, Greatest Common Divisor of 689, 836, 214, 755 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 563, 584, 518, 738
• GCD of 292, 990, 391, 601
• GCD of 481, 546, 345, 924
• GCD of 695, 363, 992, 385
• GCD of 883, 290, 820, 911

Given numbers are 689, 836, 214, 755
The greatest common divisor of numbers 689, 836, 214, 755 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 836, 214, 755 is 1.

1. What is the GCD of 689, 836, 214, 755?

GCD of given numbers 689, 836, 214, 755 is 1

2. How to calculate the greatest common divisor of 689, 836, 214, 755?

We can find the highest common divisor of 689, 836, 214, 755 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, 836, 214, 755 i.e 1.

3. How can I use the GCD of 689, 836, 214, 755Calculator?

Out the numbers 689, 836, 214, 755 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.