GCD of 690, 321, 828, 348 Calculator

Given Input numbers are 690, 321, 828, 348

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

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

GCD of numbers is the greatest common divisor

So, the GCD (690, 321, 828, 348) = 3.

Given numbers are 690, 321, 828, 348

The list of prime factors of all numbers are

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 321 are 3 x 107

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 348 are 2 x 2 x 3 x 29

The highest common occurrence is 3¹

Therefore, GCD of 690, 321, 828, 348 is 3.

Given numbers are 690, 321, 828, 348

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

Apply this formula for all numbers.

Step1:

LCM(690, 321) = 73830

GCD(690, 321) = ( 690 x 321 ) / 73830

= 690 / 321

= 690

Step2:

LCM(3, 828) = 828

GCD(3, 828) = ( 3 x 828 ) / 828

= 3 / 828

= 3

Step3:

LCM(3, 348) = 348

GCD(3, 348) = ( 3 x 348 ) / 348

= 3 / 348

= 3

So, Greatest Common Divisor of 690, 321, 828, 348 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 237, 532, 470, 494
• GCD of 740, 529, 580, 929
• GCD of 235, 505, 980, 293
• GCD of 969, 548, 800, 870
• GCD of 598, 969, 799, 906

Given numbers are 690, 321, 828, 348
The greatest common divisor of numbers 690, 321, 828, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 321, 828, 348 is 3.

1. What is the GCD of 690, 321, 828, 348?

GCD of given numbers 690, 321, 828, 348 is 3

2. How to calculate the greatest common divisor of 690, 321, 828, 348?

We can find the highest common divisor of 690, 321, 828, 348 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 690, 321, 828, 348 i.e 3.

3. How can I use the GCD of 690, 321, 828, 348Calculator?

Out the numbers 690, 321, 828, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.