GCD of 105, 707, 365, 164 Calculator

Given Input numbers are 105, 707, 365, 164

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

Divisors of 105 :

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

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

Divisors of 707 :

The positive integer divisors of 707 that completely divides 707 are.

1, 7, 101, 707

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

Divisors of 164 :

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

1, 2, 4, 41, 82, 164

GCD of numbers is the greatest common divisor

So, the GCD (105, 707, 365, 164) = 1.

Given numbers are 105, 707, 365, 164

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 707 are 7 x 101

Prime factors of 365 are 5 x 73

Prime factors of 164 are 2 x 2 x 41

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

Given numbers are 105, 707, 365, 164

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

Apply this formula for all numbers.

Step1:

LCM(105, 707) = 10605

GCD(105, 707) = ( 105 x 707 ) / 10605

= 105 / 707

= 105

Step2:

LCM(7, 365) = 2555

GCD(7, 365) = ( 7 x 365 ) / 2555

= 7 / 365

= 7

Step3:

LCM(1, 164) = 164

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

= 1 / 164

= 1

So, Greatest Common Divisor of 105, 707, 365, 164 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 691, 736, 640, 324
• GCD of 838, 572, 493, 936
• GCD of 704, 116, 392, 740
• GCD of 847, 480, 646, 230
• GCD of 422, 228, 615, 171

Given numbers are 105, 707, 365, 164
The greatest common divisor of numbers 105, 707, 365, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 707, 365, 164 is 1.

1. What is the GCD of 105, 707, 365, 164?

GCD of given numbers 105, 707, 365, 164 is 1

2. How to calculate the greatest common divisor of 105, 707, 365, 164?

We can find the highest common divisor of 105, 707, 365, 164 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 105, 707, 365, 164 i.e 1.

3. How can I use the GCD of 105, 707, 365, 164Calculator?

Out the numbers 105, 707, 365, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.