GCD of 690, 813, 378 Calculator

Given Input numbers are 690, 813, 378

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 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

GCD of numbers is the greatest common divisor

So, the GCD (690, 813, 378) = 3.

Given numbers are 690, 813, 378

The list of prime factors of all numbers are

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

Prime factors of 813 are 3 x 271

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 690, 813, 378 is 3.

Given numbers are 690, 813, 378

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

Apply this formula for all numbers.

Step1:

LCM(690, 813) = 186990

GCD(690, 813) = ( 690 x 813 ) / 186990

= 690 / 813

= 690

Step2:

LCM(3, 378) = 378

GCD(3, 378) = ( 3 x 378 ) / 378

= 3 / 378

= 3

So, Greatest Common Divisor of 690, 813, 378 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 160, 175, 538
• GCD of 640, 429, 377
• GCD of 345, 614, 527
• GCD of 242, 517, 511
• GCD of 351, 128, 157

Given numbers are 690, 813, 378
The greatest common divisor of numbers 690, 813, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 813, 378 is 3.

1. What is the GCD of 690, 813, 378?

GCD of given numbers 690, 813, 378 is 3

2. How to calculate the greatest common divisor of 690, 813, 378?

We can find the highest common divisor of 690, 813, 378 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, 813, 378 i.e 3.

3. How can I use the GCD of 690, 813, 378Calculator?

Out the numbers 690, 813, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.