GCD of 525, 288, 43, 420 Calculator

Given Input numbers are 525, 288, 43, 420

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

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 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 43 :

The positive integer divisors of 43 that completely divides 43 are.

1, 43

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (525, 288, 43, 420) = 1.

Given numbers are 525, 288, 43, 420

The list of prime factors of all numbers are

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

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 43 are 43

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Given numbers are 525, 288, 43, 420

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

Apply this formula for all numbers.

Step1:

LCM(525, 288) = 50400

GCD(525, 288) = ( 525 x 288 ) / 50400

= 525 / 288

= 525

Step2:

LCM(3, 43) = 129

GCD(3, 43) = ( 3 x 43 ) / 129

= 3 / 43

= 3

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 525, 288, 43, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 108, 984, 76, 313
• GCD of 135, 441, 48, 195
• GCD of 224, 162, 24, 220
• GCD of 578, 124, 96, 275
• GCD of 410, 364, 14, 970

Given numbers are 525, 288, 43, 420
The greatest common divisor of numbers 525, 288, 43, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 525, 288, 43, 420 is 1.

1. What is the GCD of 525, 288, 43, 420?

GCD of given numbers 525, 288, 43, 420 is 1

2. How to calculate the greatest common divisor of 525, 288, 43, 420?

We can find the highest common divisor of 525, 288, 43, 420 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 525, 288, 43, 420 i.e 1.

3. How can I use the GCD of 525, 288, 43, 420Calculator?

Out the numbers 525, 288, 43, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.