GCD of 432, 434, 654, 138 Calculator

Given Input numbers are 432, 434, 654, 138

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

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

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 (432, 434, 654, 138) = 2.

Given numbers are 432, 434, 654, 138

The list of prime factors of all numbers are

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 434 are 2 x 7 x 31

Prime factors of 654 are 2 x 3 x 109

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 432, 434, 654, 138 is 2.

Given numbers are 432, 434, 654, 138

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

Apply this formula for all numbers.

Step1:

LCM(432, 434) = 93744

GCD(432, 434) = ( 432 x 434 ) / 93744

= 432 / 434

= 432

Step2:

LCM(2, 654) = 654

GCD(2, 654) = ( 2 x 654 ) / 654

= 2 / 654

= 2

Step3:

LCM(2, 138) = 138

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

= 2 / 138

= 2

So, Greatest Common Divisor of 432, 434, 654, 138 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 963, 974, 824, 601
• GCD of 534, 147, 175, 532
• GCD of 646, 476, 740, 974
• GCD of 120, 934, 268, 313
• GCD of 218, 337, 619, 692

Given numbers are 432, 434, 654, 138
The greatest common divisor of numbers 432, 434, 654, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 434, 654, 138 is 2.

1. What is the GCD of 432, 434, 654, 138?

GCD of given numbers 432, 434, 654, 138 is 2

2. How to calculate the greatest common divisor of 432, 434, 654, 138?

We can find the highest common divisor of 432, 434, 654, 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 432, 434, 654, 138 i.e 2.

3. How can I use the GCD of 432, 434, 654, 138Calculator?

Out the numbers 432, 434, 654, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.