GCD of 682, 369, 649, 402 Calculator

Given Input numbers are 682, 369, 649, 402

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

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

Divisors of 402 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (682, 369, 649, 402) = 1.

Given numbers are 682, 369, 649, 402

The list of prime factors of all numbers are

Prime factors of 682 are 2 x 11 x 31

Prime factors of 369 are 3 x 3 x 41

Prime factors of 649 are 11 x 59

Prime factors of 402 are 2 x 3 x 67

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

Given numbers are 682, 369, 649, 402

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

Apply this formula for all numbers.

Step1:

LCM(682, 369) = 251658

GCD(682, 369) = ( 682 x 369 ) / 251658

= 682 / 369

= 682

Step2:

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

= 1 / 649

= 1

Step3:

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

= 1 / 402

= 1

So, Greatest Common Divisor of 682, 369, 649, 402 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 312, 534, 784, 271
• GCD of 478, 732, 290, 868
• GCD of 490, 694, 633, 659
• GCD of 514, 311, 876, 970
• GCD of 634, 452, 200, 577

Given numbers are 682, 369, 649, 402
The greatest common divisor of numbers 682, 369, 649, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 369, 649, 402 is 1.

1. What is the GCD of 682, 369, 649, 402?

GCD of given numbers 682, 369, 649, 402 is 1

2. How to calculate the greatest common divisor of 682, 369, 649, 402?

We can find the highest common divisor of 682, 369, 649, 402 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 682, 369, 649, 402 i.e 1.

3. How can I use the GCD of 682, 369, 649, 402Calculator?

Out the numbers 682, 369, 649, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.