GCD of 138, 351, 528 Calculator

Given Input numbers are 138, 351, 528

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 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

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

GCD of numbers is the greatest common divisor

So, the GCD (138, 351, 528) = 3.

Given numbers are 138, 351, 528

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 351 are 3 x 3 x 3 x 13

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

The highest common occurrence is 3¹

Therefore, GCD of 138, 351, 528 is 3.

Given numbers are 138, 351, 528

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

Apply this formula for all numbers.

Step1:

LCM(138, 351) = 16146

GCD(138, 351) = ( 138 x 351 ) / 16146

= 138 / 351

= 138

Step2:

LCM(3, 528) = 528

GCD(3, 528) = ( 3 x 528 ) / 528

= 3 / 528

= 3

So, Greatest Common Divisor of 138, 351, 528 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 929, 114, 900
• GCD of 925, 606, 719
• GCD of 620, 769, 790
• GCD of 925, 890, 957
• GCD of 137, 807, 465

Given numbers are 138, 351, 528
The greatest common divisor of numbers 138, 351, 528 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 351, 528 is 3.

1. What is the GCD of 138, 351, 528?

GCD of given numbers 138, 351, 528 is 3

2. How to calculate the greatest common divisor of 138, 351, 528?

We can find the highest common divisor of 138, 351, 528 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, 351, 528 i.e 3.

3. How can I use the GCD of 138, 351, 528Calculator?

Out the numbers 138, 351, 528 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.