GCD of 375, 456, 369, 358 Calculator

Given Input numbers are 375, 456, 369, 358

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

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

GCD of numbers is the greatest common divisor

So, the GCD (375, 456, 369, 358) = 1.

Given numbers are 375, 456, 369, 358

The list of prime factors of all numbers are

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 369 are 3 x 3 x 41

Prime factors of 358 are 2 x 179

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

Given numbers are 375, 456, 369, 358

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

Apply this formula for all numbers.

Step1:

LCM(375, 456) = 57000

GCD(375, 456) = ( 375 x 456 ) / 57000

= 375 / 456

= 375

Step2:

LCM(3, 369) = 369

GCD(3, 369) = ( 3 x 369 ) / 369

= 3 / 369

= 3

Step3:

LCM(3, 358) = 1074

GCD(3, 358) = ( 3 x 358 ) / 1074

= 3 / 358

= 3

So, Greatest Common Divisor of 375, 456, 369, 358 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 439, 929, 185, 102
• GCD of 356, 794, 577, 651
• GCD of 646, 647, 170, 623
• GCD of 126, 706, 484, 376
• GCD of 219, 528, 433, 647

Given numbers are 375, 456, 369, 358
The greatest common divisor of numbers 375, 456, 369, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 375, 456, 369, 358 is 1.

1. What is the GCD of 375, 456, 369, 358?

GCD of given numbers 375, 456, 369, 358 is 1

2. How to calculate the greatest common divisor of 375, 456, 369, 358?

We can find the highest common divisor of 375, 456, 369, 358 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 375, 456, 369, 358 i.e 1.

3. How can I use the GCD of 375, 456, 369, 358Calculator?

Out the numbers 375, 456, 369, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.