GCD of 180, 525, 417, 742 Calculator

Given Input numbers are 180, 525, 417, 742

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

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 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 417 :

The positive integer divisors of 417 that completely divides 417 are.

1, 3, 139, 417

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (180, 525, 417, 742) = 1.

Given numbers are 180, 525, 417, 742

The list of prime factors of all numbers are

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

Prime factors of 525 are 3 x 5 x 5 x 7

Prime factors of 417 are 3 x 139

Prime factors of 742 are 2 x 7 x 53

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

Given numbers are 180, 525, 417, 742

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

Apply this formula for all numbers.

Step1:

LCM(180, 525) = 6300

GCD(180, 525) = ( 180 x 525 ) / 6300

= 180 / 525

= 180

Step2:

LCM(15, 417) = 2085

GCD(15, 417) = ( 15 x 417 ) / 2085

= 15 / 417

= 15

Step3:

LCM(3, 742) = 2226

GCD(3, 742) = ( 3 x 742 ) / 2226

= 3 / 742

= 3

So, Greatest Common Divisor of 180, 525, 417, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 577, 463, 141, 784
• GCD of 559, 276, 865, 402
• GCD of 519, 957, 270, 576
• GCD of 146, 810, 266, 568
• GCD of 416, 709, 366, 426

Given numbers are 180, 525, 417, 742
The greatest common divisor of numbers 180, 525, 417, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 525, 417, 742 is 1.

1. What is the GCD of 180, 525, 417, 742?

GCD of given numbers 180, 525, 417, 742 is 1

2. How to calculate the greatest common divisor of 180, 525, 417, 742?

We can find the highest common divisor of 180, 525, 417, 742 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 180, 525, 417, 742 i.e 1.

3. How can I use the GCD of 180, 525, 417, 742Calculator?

Out the numbers 180, 525, 417, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.