GCD of 738, 675, 428, 354 Calculator

Given Input numbers are 738, 675, 428, 354

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

GCD of numbers is the greatest common divisor

So, the GCD (738, 675, 428, 354) = 1.

Given numbers are 738, 675, 428, 354

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 428 are 2 x 2 x 107

Prime factors of 354 are 2 x 3 x 59

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

Given numbers are 738, 675, 428, 354

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

Apply this formula for all numbers.

Step1:

LCM(738, 675) = 55350

GCD(738, 675) = ( 738 x 675 ) / 55350

= 738 / 675

= 738

Step2:

LCM(9, 428) = 3852

GCD(9, 428) = ( 9 x 428 ) / 3852

= 9 / 428

= 9

Step3:

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

= 1 / 354

= 1

So, Greatest Common Divisor of 738, 675, 428, 354 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 983, 212, 767, 762
• GCD of 162, 362, 666, 531
• GCD of 982, 858, 525, 815
• GCD of 433, 324, 375, 571
• GCD of 825, 190, 355, 256

Given numbers are 738, 675, 428, 354
The greatest common divisor of numbers 738, 675, 428, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 675, 428, 354 is 1.

1. What is the GCD of 738, 675, 428, 354?

GCD of given numbers 738, 675, 428, 354 is 1

2. How to calculate the greatest common divisor of 738, 675, 428, 354?

We can find the highest common divisor of 738, 675, 428, 354 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 738, 675, 428, 354 i.e 1.

3. How can I use the GCD of 738, 675, 428, 354Calculator?

Out the numbers 738, 675, 428, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.