GCD of 132, 789, 402, 429 Calculator

Given Input numbers are 132, 789, 402, 429

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

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

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 (132, 789, 402, 429) = 3.

Given numbers are 132, 789, 402, 429

The list of prime factors of all numbers are

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 789 are 3 x 263

Prime factors of 402 are 2 x 3 x 67

Prime factors of 429 are 3 x 11 x 13

The highest common occurrence is 3¹

Therefore, GCD of 132, 789, 402, 429 is 3.

Given numbers are 132, 789, 402, 429

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

Apply this formula for all numbers.

Step1:

LCM(132, 789) = 34716

GCD(132, 789) = ( 132 x 789 ) / 34716

= 132 / 789

= 132

Step2:

LCM(3, 402) = 402

GCD(3, 402) = ( 3 x 402 ) / 402

= 3 / 402

= 3

Step3:

LCM(3, 429) = 429

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

= 3 / 429

= 3

So, Greatest Common Divisor of 132, 789, 402, 429 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 601, 257, 126, 991
• GCD of 423, 690, 632, 856
• GCD of 428, 611, 653, 235
• GCD of 146, 527, 557, 588
• GCD of 491, 228, 407, 808

Given numbers are 132, 789, 402, 429
The greatest common divisor of numbers 132, 789, 402, 429 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 789, 402, 429 is 3.

1. What is the GCD of 132, 789, 402, 429?

GCD of given numbers 132, 789, 402, 429 is 3

2. How to calculate the greatest common divisor of 132, 789, 402, 429?

We can find the highest common divisor of 132, 789, 402, 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 132, 789, 402, 429 i.e 3.

3. How can I use the GCD of 132, 789, 402, 429Calculator?

Out the numbers 132, 789, 402, 429 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.