GCD of 150, 465, 409, 357 Calculator

Given Input numbers are 150, 465, 409, 357

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

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 409 :

The positive integer divisors of 409 that completely divides 409 are.

1, 409

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

GCD of numbers is the greatest common divisor

So, the GCD (150, 465, 409, 357) = 1.

Given numbers are 150, 465, 409, 357

The list of prime factors of all numbers are

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 465 are 3 x 5 x 31

Prime factors of 409 are 409

Prime factors of 357 are 3 x 7 x 17

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

Given numbers are 150, 465, 409, 357

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

Apply this formula for all numbers.

Step1:

LCM(150, 465) = 4650

GCD(150, 465) = ( 150 x 465 ) / 4650

= 150 / 465

= 150

Step2:

LCM(15, 409) = 6135

GCD(15, 409) = ( 15 x 409 ) / 6135

= 15 / 409

= 15

Step3:

LCM(1, 357) = 357

GCD(1, 357) = ( 1 x 357 ) / 357

= 1 / 357

= 1

So, Greatest Common Divisor of 150, 465, 409, 357 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 246, 176, 193, 193
• GCD of 637, 446, 454, 748
• GCD of 136, 194, 795, 649
• GCD of 654, 617, 290, 117
• GCD of 378, 528, 571, 423

Given numbers are 150, 465, 409, 357
The greatest common divisor of numbers 150, 465, 409, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 465, 409, 357 is 1.

1. What is the GCD of 150, 465, 409, 357?

GCD of given numbers 150, 465, 409, 357 is 1

2. How to calculate the greatest common divisor of 150, 465, 409, 357?

We can find the highest common divisor of 150, 465, 409, 357 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 150, 465, 409, 357 i.e 1.

3. How can I use the GCD of 150, 465, 409, 357Calculator?

Out the numbers 150, 465, 409, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.