GCD of 374, 296, 742, 669 Calculator

Given Input numbers are 374, 296, 742, 669

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

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 742 :

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

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

Divisors of 669 :

The positive integer divisors of 669 that completely divides 669 are.

1, 3, 223, 669

GCD of numbers is the greatest common divisor

So, the GCD (374, 296, 742, 669) = 1.

Given numbers are 374, 296, 742, 669

The list of prime factors of all numbers are

Prime factors of 374 are 2 x 11 x 17

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 742 are 2 x 7 x 53

Prime factors of 669 are 3 x 223

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 374, 296, 742, 669

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

Apply this formula for all numbers.

Step1:

LCM(374, 296) = 55352

GCD(374, 296) = ( 374 x 296 ) / 55352

= 374 / 296

= 374

Step2:

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

= 2 / 742

= 2

Step3:

LCM(2, 669) = 1338

GCD(2, 669) = ( 2 x 669 ) / 1338

= 2 / 669

= 2

So, Greatest Common Divisor of 374, 296, 742, 669 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 565, 815, 307, 988
• GCD of 675, 118, 169, 259
• GCD of 287, 316, 656, 761
• GCD of 633, 878, 936, 910
• GCD of 593, 433, 596, 957

Given numbers are 374, 296, 742, 669
The greatest common divisor of numbers 374, 296, 742, 669 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 374, 296, 742, 669 is 1.

1. What is the GCD of 374, 296, 742, 669?

GCD of given numbers 374, 296, 742, 669 is 1

2. How to calculate the greatest common divisor of 374, 296, 742, 669?

We can find the highest common divisor of 374, 296, 742, 669 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 374, 296, 742, 669 i.e 1.

3. How can I use the GCD of 374, 296, 742, 669Calculator?

Out the numbers 374, 296, 742, 669 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.