GCD of 465, 100, 357, 355 Calculator

Given Input numbers are 465, 100, 357, 355

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

Divisors of 465 :

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

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

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 357 :

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

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

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

GCD of numbers is the greatest common divisor

So, the GCD (465, 100, 357, 355) = 1.

Given numbers are 465, 100, 357, 355

The list of prime factors of all numbers are

Prime factors of 465 are 3 x 5 x 31

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 357 are 3 x 7 x 17

Prime factors of 355 are 5 x 71

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

Given numbers are 465, 100, 357, 355

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

Apply this formula for all numbers.

Step1:

LCM(465, 100) = 9300

GCD(465, 100) = ( 465 x 100 ) / 9300

= 465 / 100

= 465

Step2:

LCM(5, 357) = 1785

GCD(5, 357) = ( 5 x 357 ) / 1785

= 5 / 357

= 5

Step3:

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

= 1 / 355

= 1

So, Greatest Common Divisor of 465, 100, 357, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 362, 242, 639
• GCD of 876, 835, 998, 985
• GCD of 401, 803, 643, 730
• GCD of 236, 658, 563, 295
• GCD of 812, 442, 109, 101

Given numbers are 465, 100, 357, 355
The greatest common divisor of numbers 465, 100, 357, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 100, 357, 355 is 1.

1. What is the GCD of 465, 100, 357, 355?

GCD of given numbers 465, 100, 357, 355 is 1

2. How to calculate the greatest common divisor of 465, 100, 357, 355?

We can find the highest common divisor of 465, 100, 357, 355 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 465, 100, 357, 355 i.e 1.

3. How can I use the GCD of 465, 100, 357, 355Calculator?

Out the numbers 465, 100, 357, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.