GCD of 138, 363, 552, 525 Calculator

Given Input numbers are 138, 363, 552, 525

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

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

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

GCD of numbers is the greatest common divisor

So, the GCD (138, 363, 552, 525) = 3.

Given numbers are 138, 363, 552, 525

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 363 are 3 x 11 x 11

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

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

The highest common occurrence is 3¹

Therefore, GCD of 138, 363, 552, 525 is 3.

Given numbers are 138, 363, 552, 525

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

Apply this formula for all numbers.

Step1:

LCM(138, 363) = 16698

GCD(138, 363) = ( 138 x 363 ) / 16698

= 138 / 363

= 138

Step2:

LCM(3, 552) = 552

GCD(3, 552) = ( 3 x 552 ) / 552

= 3 / 552

= 3

Step3:

LCM(3, 525) = 525

GCD(3, 525) = ( 3 x 525 ) / 525

= 3 / 525

= 3

So, Greatest Common Divisor of 138, 363, 552, 525 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 713, 605, 679, 430
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• GCD of 520, 558, 160, 402
• GCD of 351, 445, 785, 836

Given numbers are 138, 363, 552, 525
The greatest common divisor of numbers 138, 363, 552, 525 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 363, 552, 525 is 3.

1. What is the GCD of 138, 363, 552, 525?

GCD of given numbers 138, 363, 552, 525 is 3

2. How to calculate the greatest common divisor of 138, 363, 552, 525?

We can find the highest common divisor of 138, 363, 552, 525 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 138, 363, 552, 525 i.e 3.

3. How can I use the GCD of 138, 363, 552, 525Calculator?

Out the numbers 138, 363, 552, 525 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.