GCD of 345, 765, 161, 900 Calculator

Given Input numbers are 345, 765, 161, 900

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

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 161 :

The positive integer divisors of 161 that completely divides 161 are.

1, 7, 23, 161

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (345, 765, 161, 900) = 1.

Given numbers are 345, 765, 161, 900

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 161 are 7 x 23

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

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

Given numbers are 345, 765, 161, 900

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

Apply this formula for all numbers.

Step1:

LCM(345, 765) = 17595

GCD(345, 765) = ( 345 x 765 ) / 17595

= 345 / 765

= 345

Step2:

LCM(15, 161) = 2415

GCD(15, 161) = ( 15 x 161 ) / 2415

= 15 / 161

= 15

Step3:

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

= 1 / 900

= 1

So, Greatest Common Divisor of 345, 765, 161, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 356, 942, 274, 688
• GCD of 637, 975, 468, 361
• GCD of 672, 426, 188, 321
• GCD of 397, 538, 746, 869
• GCD of 299, 680, 601, 112

Given numbers are 345, 765, 161, 900
The greatest common divisor of numbers 345, 765, 161, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 765, 161, 900 is 1.

1. What is the GCD of 345, 765, 161, 900?

GCD of given numbers 345, 765, 161, 900 is 1

2. How to calculate the greatest common divisor of 345, 765, 161, 900?

We can find the highest common divisor of 345, 765, 161, 900 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 345, 765, 161, 900 i.e 1.

3. How can I use the GCD of 345, 765, 161, 900Calculator?

Out the numbers 345, 765, 161, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.