GCD of 455, 450, 180, 735 Calculator

Given Input numbers are 455, 450, 180, 735

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

Divisors of 455 :

The positive integer divisors of 455 that completely divides 455 are.

1, 5, 7, 13, 35, 65, 91, 455

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 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

GCD of numbers is the greatest common divisor

So, the GCD (455, 450, 180, 735) = 5.

Given numbers are 455, 450, 180, 735

The list of prime factors of all numbers are

Prime factors of 455 are 5 x 7 x 13

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

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 735 are 3 x 5 x 7 x 7

The highest common occurrence is 5¹

Therefore, GCD of 455, 450, 180, 735 is 5.

Given numbers are 455, 450, 180, 735

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

Apply this formula for all numbers.

Step1:

LCM(455, 450) = 40950

GCD(455, 450) = ( 455 x 450 ) / 40950

= 455 / 450

= 455

Step2:

LCM(5, 180) = 180

GCD(5, 180) = ( 5 x 180 ) / 180

= 5 / 180

= 5

Step3:

LCM(5, 735) = 735

GCD(5, 735) = ( 5 x 735 ) / 735

= 5 / 735

= 5

So, Greatest Common Divisor of 455, 450, 180, 735 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 428, 170, 679, 324
• GCD of 489, 587, 740, 979
• GCD of 505, 420, 116, 887
• GCD of 994, 133, 384, 940
• GCD of 382, 373, 354, 537

Given numbers are 455, 450, 180, 735
The greatest common divisor of numbers 455, 450, 180, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 455, 450, 180, 735 is 5.

1. What is the GCD of 455, 450, 180, 735?

GCD of given numbers 455, 450, 180, 735 is 5

2. How to calculate the greatest common divisor of 455, 450, 180, 735?

We can find the highest common divisor of 455, 450, 180, 735 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 455, 450, 180, 735 i.e 5.

3. How can I use the GCD of 455, 450, 180, 735Calculator?

Out the numbers 455, 450, 180, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.