GCD of 528, 525, 480, 429 Calculator

Given Input numbers are 528, 525, 480, 429

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

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

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 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 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

GCD of numbers is the greatest common divisor

So, the GCD (528, 525, 480, 429) = 3.

Given numbers are 528, 525, 480, 429

The list of prime factors of all numbers are

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

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

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

Prime factors of 429 are 3 x 11 x 13

The highest common occurrence is 3¹

Therefore, GCD of 528, 525, 480, 429 is 3.

Given numbers are 528, 525, 480, 429

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

Apply this formula for all numbers.

Step1:

LCM(528, 525) = 92400

GCD(528, 525) = ( 528 x 525 ) / 92400

= 528 / 525

= 528

Step2:

LCM(3, 480) = 480

GCD(3, 480) = ( 3 x 480 ) / 480

= 3 / 480

= 3

Step3:

LCM(3, 429) = 429

GCD(3, 429) = ( 3 x 429 ) / 429

= 3 / 429

= 3

So, Greatest Common Divisor of 528, 525, 480, 429 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 396, 292, 476, 715
• GCD of 265, 627, 455, 792
• GCD of 869, 437, 139, 850
• GCD of 455, 243, 371, 950
• GCD of 939, 374, 894, 500

Given numbers are 528, 525, 480, 429
The greatest common divisor of numbers 528, 525, 480, 429 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 528, 525, 480, 429 is 3.

1. What is the GCD of 528, 525, 480, 429?

GCD of given numbers 528, 525, 480, 429 is 3

2. How to calculate the greatest common divisor of 528, 525, 480, 429?

We can find the highest common divisor of 528, 525, 480, 429 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 528, 525, 480, 429 i.e 3.

3. How can I use the GCD of 528, 525, 480, 429Calculator?

Out the numbers 528, 525, 480, 429 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.