GCD of 167, 506, 164, 105 Calculator

Given Input numbers are 167, 506, 164, 105

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

Divisors of 167 :

The positive integer divisors of 167 that completely divides 167 are.

1, 167

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

GCD of numbers is the greatest common divisor

So, the GCD (167, 506, 164, 105) = 1.

Given numbers are 167, 506, 164, 105

The list of prime factors of all numbers are

Prime factors of 167 are 167

Prime factors of 506 are 2 x 11 x 23

Prime factors of 164 are 2 x 2 x 41

Prime factors of 105 are 3 x 5 x 7

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

Given numbers are 167, 506, 164, 105

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

Apply this formula for all numbers.

Step1:

LCM(167, 506) = 84502

GCD(167, 506) = ( 167 x 506 ) / 84502

= 167 / 506

= 167

Step2:

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

= 1 / 164

= 1

Step3:

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

= 1 / 105

= 1

So, Greatest Common Divisor of 167, 506, 164, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 366, 213, 735, 631
• GCD of 595, 630, 901, 697
• GCD of 120, 164, 889, 727
• GCD of 854, 577, 832, 534
• GCD of 464, 349, 124, 814

Given numbers are 167, 506, 164, 105
The greatest common divisor of numbers 167, 506, 164, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 167, 506, 164, 105 is 1.

1. What is the GCD of 167, 506, 164, 105?

GCD of given numbers 167, 506, 164, 105 is 1

2. How to calculate the greatest common divisor of 167, 506, 164, 105?

We can find the highest common divisor of 167, 506, 164, 105 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 167, 506, 164, 105 i.e 1.

3. How can I use the GCD of 167, 506, 164, 105Calculator?

Out the numbers 167, 506, 164, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.