GCD of 535, 180, 735, 475 Calculator

Given Input numbers are 535, 180, 735, 475

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

Divisors of 535 :

The positive integer divisors of 535 that completely divides 535 are.

1, 5, 107, 535

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

Divisors of 475 :

The positive integer divisors of 475 that completely divides 475 are.

1, 5, 19, 25, 95, 475

GCD of numbers is the greatest common divisor

So, the GCD (535, 180, 735, 475) = 5.

Given numbers are 535, 180, 735, 475

The list of prime factors of all numbers are

Prime factors of 535 are 5 x 107

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

Prime factors of 475 are 5 x 5 x 19

The highest common occurrence is 5¹

Therefore, GCD of 535, 180, 735, 475 is 5.

Given numbers are 535, 180, 735, 475

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

Apply this formula for all numbers.

Step1:

LCM(535, 180) = 19260

GCD(535, 180) = ( 535 x 180 ) / 19260

= 535 / 180

= 535

Step2:

LCM(5, 735) = 735

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

= 5 / 735

= 5

Step3:

LCM(5, 475) = 475

GCD(5, 475) = ( 5 x 475 ) / 475

= 5 / 475

= 5

So, Greatest Common Divisor of 535, 180, 735, 475 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 331, 806, 735, 558
• GCD of 770, 749, 630, 329
• GCD of 585, 234, 676, 446
• GCD of 101, 590, 502, 757
• GCD of 319, 753, 587, 705

Given numbers are 535, 180, 735, 475
The greatest common divisor of numbers 535, 180, 735, 475 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 535, 180, 735, 475 is 5.

1. What is the GCD of 535, 180, 735, 475?

GCD of given numbers 535, 180, 735, 475 is 5

2. How to calculate the greatest common divisor of 535, 180, 735, 475?

We can find the highest common divisor of 535, 180, 735, 475 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 535, 180, 735, 475 i.e 5.

3. How can I use the GCD of 535, 180, 735, 475Calculator?

Out the numbers 535, 180, 735, 475 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.