GCD of 402, 456, 782, 429 Calculator

Given Input numbers are 402, 456, 782, 429

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

Divisors of 402 :

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

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

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 (402, 456, 782, 429) = 1.

Given numbers are 402, 456, 782, 429

The list of prime factors of all numbers are

Prime factors of 402 are 2 x 3 x 67

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 782 are 2 x 17 x 23

Prime factors of 429 are 3 x 11 x 13

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 402, 456, 782, 429

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

Apply this formula for all numbers.

Step1:

LCM(402, 456) = 30552

GCD(402, 456) = ( 402 x 456 ) / 30552

= 402 / 456

= 402

Step2:

LCM(6, 782) = 2346

GCD(6, 782) = ( 6 x 782 ) / 2346

= 6 / 782

= 6

Step3:

LCM(2, 429) = 858

GCD(2, 429) = ( 2 x 429 ) / 858

= 2 / 429

= 2

So, Greatest Common Divisor of 402, 456, 782, 429 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 537, 811, 292, 895
• GCD of 832, 646, 889, 132
• GCD of 333, 767, 967, 597
• GCD of 871, 336, 658, 379
• GCD of 968, 962, 948, 559

Given numbers are 402, 456, 782, 429
The greatest common divisor of numbers 402, 456, 782, 429 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 456, 782, 429 is 1.

1. What is the GCD of 402, 456, 782, 429?

GCD of given numbers 402, 456, 782, 429 is 1

2. How to calculate the greatest common divisor of 402, 456, 782, 429?

We can find the highest common divisor of 402, 456, 782, 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 402, 456, 782, 429 i.e 1.

3. How can I use the GCD of 402, 456, 782, 429Calculator?

Out the numbers 402, 456, 782, 429 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.