GCD of 532, 176, 190, 138 Calculator

Given Input numbers are 532, 176, 190, 138

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

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 190 :

The positive integer divisors of 190 that completely divides 190 are.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 138 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (532, 176, 190, 138) = 2.

Given numbers are 532, 176, 190, 138

The list of prime factors of all numbers are

Prime factors of 532 are 2 x 2 x 7 x 19

Prime factors of 176 are 2 x 2 x 2 x 2 x 11

Prime factors of 190 are 2 x 5 x 19

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 532, 176, 190, 138 is 2.

Given numbers are 532, 176, 190, 138

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

Apply this formula for all numbers.

Step1:

LCM(532, 176) = 23408

GCD(532, 176) = ( 532 x 176 ) / 23408

= 532 / 176

= 532

Step2:

LCM(4, 190) = 380

GCD(4, 190) = ( 4 x 190 ) / 380

= 4 / 190

= 4

Step3:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

So, Greatest Common Divisor of 532, 176, 190, 138 is 2

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Given numbers are 532, 176, 190, 138
The greatest common divisor of numbers 532, 176, 190, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 532, 176, 190, 138 is 2.

1. What is the GCD of 532, 176, 190, 138?

GCD of given numbers 532, 176, 190, 138 is 2

2. How to calculate the greatest common divisor of 532, 176, 190, 138?

We can find the highest common divisor of 532, 176, 190, 138 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 532, 176, 190, 138 i.e 2.

3. How can I use the GCD of 532, 176, 190, 138Calculator?

Out the numbers 532, 176, 190, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.