GCD of 450, 152, 261, 169 Calculator

Given Input numbers are 450, 152, 261, 169

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

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

GCD of numbers is the greatest common divisor

So, the GCD (450, 152, 261, 169) = 1.

Given numbers are 450, 152, 261, 169

The list of prime factors of all numbers are

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 152 are 2 x 2 x 2 x 19

Prime factors of 261 are 3 x 3 x 29

Prime factors of 169 are 13 x 13

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

Given numbers are 450, 152, 261, 169

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

Apply this formula for all numbers.

Step1:

LCM(450, 152) = 34200

GCD(450, 152) = ( 450 x 152 ) / 34200

= 450 / 152

= 450

Step2:

LCM(2, 261) = 522

GCD(2, 261) = ( 2 x 261 ) / 522

= 2 / 261

= 2

Step3:

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

= 1 / 169

= 1

So, Greatest Common Divisor of 450, 152, 261, 169 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 922, 321, 548, 246
• GCD of 303, 945, 786, 983
• GCD of 203, 528, 978, 335
• GCD of 917, 112, 607, 637
• GCD of 127, 381, 186, 254

Given numbers are 450, 152, 261, 169
The greatest common divisor of numbers 450, 152, 261, 169 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 152, 261, 169 is 1.

1. What is the GCD of 450, 152, 261, 169?

GCD of given numbers 450, 152, 261, 169 is 1

2. How to calculate the greatest common divisor of 450, 152, 261, 169?

We can find the highest common divisor of 450, 152, 261, 169 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 450, 152, 261, 169 i.e 1.

3. How can I use the GCD of 450, 152, 261, 169Calculator?

Out the numbers 450, 152, 261, 169 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.