GCD of 390, 408, 674, 940 Calculator

Given Input numbers are 390, 408, 674, 940

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

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

GCD of numbers is the greatest common divisor

So, the GCD (390, 408, 674, 940) = 2.

Given numbers are 390, 408, 674, 940

The list of prime factors of all numbers are

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 674 are 2 x 337

Prime factors of 940 are 2 x 2 x 5 x 47

The highest common occurrence is 2¹

Therefore, GCD of 390, 408, 674, 940 is 2.

Given numbers are 390, 408, 674, 940

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

Apply this formula for all numbers.

Step1:

LCM(390, 408) = 26520

GCD(390, 408) = ( 390 x 408 ) / 26520

= 390 / 408

= 390

Step2:

LCM(6, 674) = 2022

GCD(6, 674) = ( 6 x 674 ) / 2022

= 6 / 674

= 6

Step3:

LCM(2, 940) = 940

GCD(2, 940) = ( 2 x 940 ) / 940

= 2 / 940

= 2

So, Greatest Common Divisor of 390, 408, 674, 940 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 519, 562, 572, 254
• GCD of 367, 932, 112, 805
• GCD of 797, 748, 915, 427
• GCD of 723, 250, 934, 907
• GCD of 137, 317, 649, 490

Given numbers are 390, 408, 674, 940
The greatest common divisor of numbers 390, 408, 674, 940 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 408, 674, 940 is 2.

1. What is the GCD of 390, 408, 674, 940?

GCD of given numbers 390, 408, 674, 940 is 2

2. How to calculate the greatest common divisor of 390, 408, 674, 940?

We can find the highest common divisor of 390, 408, 674, 940 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 390, 408, 674, 940 i.e 2.

3. How can I use the GCD of 390, 408, 674, 940Calculator?

Out the numbers 390, 408, 674, 940 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.