GCD of 676, 312, 413, 369 Calculator

Given Input numbers are 676, 312, 413, 369

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 413 :

The positive integer divisors of 413 that completely divides 413 are.

1, 7, 59, 413

Divisors of 369 :

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

1, 3, 9, 41, 123, 369

GCD of numbers is the greatest common divisor

So, the GCD (676, 312, 413, 369) = 1.

Given numbers are 676, 312, 413, 369

The list of prime factors of all numbers are

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 413 are 7 x 59

Prime factors of 369 are 3 x 3 x 41

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

Given numbers are 676, 312, 413, 369

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

Apply this formula for all numbers.

Step1:

LCM(676, 312) = 4056

GCD(676, 312) = ( 676 x 312 ) / 4056

= 676 / 312

= 676

Step2:

LCM(52, 413) = 21476

GCD(52, 413) = ( 52 x 413 ) / 21476

= 52 / 413

= 52

Step3:

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

= 1 / 369

= 1

So, Greatest Common Divisor of 676, 312, 413, 369 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 133, 562, 978, 599
• GCD of 868, 453, 521, 598
• GCD of 750, 969, 177, 189
• GCD of 587, 736, 184, 343
• GCD of 284, 725, 387, 128

Given numbers are 676, 312, 413, 369
The greatest common divisor of numbers 676, 312, 413, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 312, 413, 369 is 1.

1. What is the GCD of 676, 312, 413, 369?

GCD of given numbers 676, 312, 413, 369 is 1

2. How to calculate the greatest common divisor of 676, 312, 413, 369?

We can find the highest common divisor of 676, 312, 413, 369 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 676, 312, 413, 369 i.e 1.

3. How can I use the GCD of 676, 312, 413, 369Calculator?

Out the numbers 676, 312, 413, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.