GCD of 402, 289, 278, 660 Calculator

Given Input numbers are 402, 289, 278, 660

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 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 278 :

The positive integer divisors of 278 that completely divides 278 are.

1, 2, 139, 278

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

GCD of numbers is the greatest common divisor

So, the GCD (402, 289, 278, 660) = 1.

Given numbers are 402, 289, 278, 660

The list of prime factors of all numbers are

Prime factors of 402 are 2 x 3 x 67

Prime factors of 289 are 17 x 17

Prime factors of 278 are 2 x 139

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

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

Given numbers are 402, 289, 278, 660

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

Apply this formula for all numbers.

Step1:

LCM(402, 289) = 116178

GCD(402, 289) = ( 402 x 289 ) / 116178

= 402 / 289

= 402

Step2:

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

= 1 / 278

= 1

Step3:

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

= 1 / 660

= 1

So, Greatest Common Divisor of 402, 289, 278, 660 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 622, 131, 748
• GCD of 165, 325, 786, 484
• GCD of 478, 416, 912, 210
• GCD of 712, 714, 801, 665
• GCD of 140, 637, 228, 423

Given numbers are 402, 289, 278, 660
The greatest common divisor of numbers 402, 289, 278, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 289, 278, 660 is 1.

1. What is the GCD of 402, 289, 278, 660?

GCD of given numbers 402, 289, 278, 660 is 1

2. How to calculate the greatest common divisor of 402, 289, 278, 660?

We can find the highest common divisor of 402, 289, 278, 660 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, 289, 278, 660 i.e 1.

3. How can I use the GCD of 402, 289, 278, 660Calculator?

Out the numbers 402, 289, 278, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.