GCD of 742, 608, 646, 674 Calculator

Given Input numbers are 742, 608, 646, 674

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

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 (742, 608, 646, 674) = 2.

Given numbers are 742, 608, 646, 674

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

Prime factors of 646 are 2 x 17 x 19

Prime factors of 674 are 2 x 337

The highest common occurrence is 2¹

Therefore, GCD of 742, 608, 646, 674 is 2.

Given numbers are 742, 608, 646, 674

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

Apply this formula for all numbers.

Step1:

LCM(742, 608) = 225568

GCD(742, 608) = ( 742 x 608 ) / 225568

= 742 / 608

= 742

Step2:

LCM(2, 646) = 646

GCD(2, 646) = ( 2 x 646 ) / 646

= 2 / 646

= 2

Step3:

LCM(2, 674) = 674

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

= 2 / 674

= 2

So, Greatest Common Divisor of 742, 608, 646, 674 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 723, 477, 116, 110
• GCD of 594, 109, 307, 944
• GCD of 198, 750, 669, 695
• GCD of 597, 275, 184, 872
• GCD of 642, 109, 518, 531

Given numbers are 742, 608, 646, 674
The greatest common divisor of numbers 742, 608, 646, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 608, 646, 674 is 2.

1. What is the GCD of 742, 608, 646, 674?

GCD of given numbers 742, 608, 646, 674 is 2

2. How to calculate the greatest common divisor of 742, 608, 646, 674?

We can find the highest common divisor of 742, 608, 646, 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 742, 608, 646, 674 i.e 2.

3. How can I use the GCD of 742, 608, 646, 674Calculator?

Out the numbers 742, 608, 646, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.