GCD of 525, 300, 474, 164 Calculator

Given Input numbers are 525, 300, 474, 164

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

Divisors of 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

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 (525, 300, 474, 164) = 1.

Given numbers are 525, 300, 474, 164

The list of prime factors of all numbers are

Prime factors of 525 are 3 x 5 x 5 x 7

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 474 are 2 x 3 x 79

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 525, 300, 474, 164

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

Apply this formula for all numbers.

Step1:

LCM(525, 300) = 2100

GCD(525, 300) = ( 525 x 300 ) / 2100

= 525 / 300

= 525

Step2:

LCM(75, 474) = 11850

GCD(75, 474) = ( 75 x 474 ) / 11850

= 75 / 474

= 75

Step3:

LCM(3, 164) = 492

GCD(3, 164) = ( 3 x 164 ) / 492

= 3 / 164

= 3

So, Greatest Common Divisor of 525, 300, 474, 164 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 933, 308, 306, 333
• GCD of 313, 641, 731, 643
• GCD of 502, 260, 484, 133
• GCD of 535, 832, 998, 155
• GCD of 633, 169, 145, 311

Given numbers are 525, 300, 474, 164
The greatest common divisor of numbers 525, 300, 474, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 525, 300, 474, 164 is 1.

1. What is the GCD of 525, 300, 474, 164?

GCD of given numbers 525, 300, 474, 164 is 1

2. How to calculate the greatest common divisor of 525, 300, 474, 164?

We can find the highest common divisor of 525, 300, 474, 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 525, 300, 474, 164 i.e 1.

3. How can I use the GCD of 525, 300, 474, 164Calculator?

Out the numbers 525, 300, 474, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.