GCD of 856, 166, 252, 689 Calculator

Given Input numbers are 856, 166, 252, 689

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

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 166 :

The positive integer divisors of 166 that completely divides 166 are.

1, 2, 83, 166

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

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 (856, 166, 252, 689) = 1.

Given numbers are 856, 166, 252, 689

The list of prime factors of all numbers are

Prime factors of 856 are 2 x 2 x 2 x 107

Prime factors of 166 are 2 x 83

Prime factors of 252 are 2 x 2 x 3 x 3 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 856, 166, 252, 689

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

Apply this formula for all numbers.

Step1:

LCM(856, 166) = 71048

GCD(856, 166) = ( 856 x 166 ) / 71048

= 856 / 166

= 856

Step2:

LCM(2, 252) = 252

GCD(2, 252) = ( 2 x 252 ) / 252

= 2 / 252

= 2

Step3:

LCM(2, 689) = 1378

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

= 2 / 689

= 2

So, Greatest Common Divisor of 856, 166, 252, 689 is 1

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Given numbers are 856, 166, 252, 689
The greatest common divisor of numbers 856, 166, 252, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 856, 166, 252, 689 is 1.

1. What is the GCD of 856, 166, 252, 689?

GCD of given numbers 856, 166, 252, 689 is 1

2. How to calculate the greatest common divisor of 856, 166, 252, 689?

We can find the highest common divisor of 856, 166, 252, 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 856, 166, 252, 689 i.e 1.

3. How can I use the GCD of 856, 166, 252, 689Calculator?

Out the numbers 856, 166, 252, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.