GCD of 408, 474, 694, 674 Calculator

Given Input numbers are 408, 474, 694, 674

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

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 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

Divisors of 674 :

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

1, 2, 337, 674

GCD of numbers is the greatest common divisor

So, the GCD (408, 474, 694, 674) = 2.

Given numbers are 408, 474, 694, 674

The list of prime factors of all numbers are

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

Prime factors of 474 are 2 x 3 x 79

Prime factors of 694 are 2 x 347

Prime factors of 674 are 2 x 337

The highest common occurrence is 2¹

Therefore, GCD of 408, 474, 694, 674 is 2.

Given numbers are 408, 474, 694, 674

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

Apply this formula for all numbers.

Step1:

LCM(408, 474) = 32232

GCD(408, 474) = ( 408 x 474 ) / 32232

= 408 / 474

= 408

Step2:

LCM(6, 694) = 2082

GCD(6, 694) = ( 6 x 694 ) / 2082

= 6 / 694

= 6

Step3:

LCM(2, 674) = 674

GCD(2, 674) = ( 2 x 674 ) / 674

= 2 / 674

= 2

So, Greatest Common Divisor of 408, 474, 694, 674 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 316, 724, 132, 764
• GCD of 764, 906, 122, 737
• GCD of 490, 795, 855, 997
• GCD of 916, 139, 512, 927
• GCD of 541, 104, 948, 988

Given numbers are 408, 474, 694, 674
The greatest common divisor of numbers 408, 474, 694, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 474, 694, 674 is 2.

1. What is the GCD of 408, 474, 694, 674?

GCD of given numbers 408, 474, 694, 674 is 2

2. How to calculate the greatest common divisor of 408, 474, 694, 674?

We can find the highest common divisor of 408, 474, 694, 674 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 408, 474, 694, 674 i.e 2.

3. How can I use the GCD of 408, 474, 694, 674Calculator?

Out the numbers 408, 474, 694, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.