GCD of 402, 284, 969, 310 Calculator

Given Input numbers are 402, 284, 969, 310

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 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

GCD of numbers is the greatest common divisor

So, the GCD (402, 284, 969, 310) = 1.

Given numbers are 402, 284, 969, 310

The list of prime factors of all numbers are

Prime factors of 402 are 2 x 3 x 67

Prime factors of 284 are 2 x 2 x 71

Prime factors of 969 are 3 x 17 x 19

Prime factors of 310 are 2 x 5 x 31

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

Given numbers are 402, 284, 969, 310

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

Apply this formula for all numbers.

Step1:

LCM(402, 284) = 57084

GCD(402, 284) = ( 402 x 284 ) / 57084

= 402 / 284

= 402

Step2:

LCM(2, 969) = 1938

GCD(2, 969) = ( 2 x 969 ) / 1938

= 2 / 969

= 2

Step3:

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

= 1 / 310

= 1

So, Greatest Common Divisor of 402, 284, 969, 310 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 240, 372, 230, 941
• GCD of 294, 688, 712, 125
• GCD of 538, 801, 612, 510
• GCD of 300, 429, 567, 547
• GCD of 187, 392, 480, 703

Given numbers are 402, 284, 969, 310
The greatest common divisor of numbers 402, 284, 969, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 284, 969, 310 is 1.

1. What is the GCD of 402, 284, 969, 310?

GCD of given numbers 402, 284, 969, 310 is 1

2. How to calculate the greatest common divisor of 402, 284, 969, 310?

We can find the highest common divisor of 402, 284, 969, 310 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, 284, 969, 310 i.e 1.

3. How can I use the GCD of 402, 284, 969, 310Calculator?

Out the numbers 402, 284, 969, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.