GCD of 132, 545, 480, 735 Calculator

Given Input numbers are 132, 545, 480, 735

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

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 545 :

The positive integer divisors of 545 that completely divides 545 are.

1, 5, 109, 545

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

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 (132, 545, 480, 735) = 1.

Given numbers are 132, 545, 480, 735

The list of prime factors of all numbers are

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 545 are 5 x 109

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

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

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

Given numbers are 132, 545, 480, 735

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

Apply this formula for all numbers.

Step1:

LCM(132, 545) = 71940

GCD(132, 545) = ( 132 x 545 ) / 71940

= 132 / 545

= 132

Step2:

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

= 1 / 480

= 1

Step3:

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

= 1 / 735

= 1

So, Greatest Common Divisor of 132, 545, 480, 735 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 495, 179, 271, 290
• GCD of 335, 667, 670, 131
• GCD of 293, 890, 343, 907
• GCD of 839, 223, 123, 278
• GCD of 146, 255, 629, 166

Given numbers are 132, 545, 480, 735
The greatest common divisor of numbers 132, 545, 480, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 545, 480, 735 is 1.

1. What is the GCD of 132, 545, 480, 735?

GCD of given numbers 132, 545, 480, 735 is 1

2. How to calculate the greatest common divisor of 132, 545, 480, 735?

We can find the highest common divisor of 132, 545, 480, 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 132, 545, 480, 735 i.e 1.

3. How can I use the GCD of 132, 545, 480, 735Calculator?

Out the numbers 132, 545, 480, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.