GCD of 742, 397, 450, 675 Calculator

Given Input numbers are 742, 397, 450, 675

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 397 :

The positive integer divisors of 397 that completely divides 397 are.

1, 397

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

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

GCD of numbers is the greatest common divisor

So, the GCD (742, 397, 450, 675) = 1.

Given numbers are 742, 397, 450, 675

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 397 are 397

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

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

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

Given numbers are 742, 397, 450, 675

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

Apply this formula for all numbers.

Step1:

LCM(742, 397) = 294574

GCD(742, 397) = ( 742 x 397 ) / 294574

= 742 / 397

= 742

Step2:

LCM(1, 450) = 450

GCD(1, 450) = ( 1 x 450 ) / 450

= 1 / 450

= 1

Step3:

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

= 1 / 675

= 1

So, Greatest Common Divisor of 742, 397, 450, 675 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 989, 471, 978, 679
• GCD of 962, 272, 953, 479
• GCD of 439, 217, 578, 197
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• GCD of 265, 402, 645, 237

Given numbers are 742, 397, 450, 675
The greatest common divisor of numbers 742, 397, 450, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 397, 450, 675 is 1.

1. What is the GCD of 742, 397, 450, 675?

GCD of given numbers 742, 397, 450, 675 is 1

2. How to calculate the greatest common divisor of 742, 397, 450, 675?

We can find the highest common divisor of 742, 397, 450, 675 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, 397, 450, 675 i.e 1.

3. How can I use the GCD of 742, 397, 450, 675Calculator?

Out the numbers 742, 397, 450, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.