GCD of 738, 892, 321, 753 Calculator

Given Input numbers are 738, 892, 321, 753

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 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

GCD of numbers is the greatest common divisor

So, the GCD (738, 892, 321, 753) = 1.

Given numbers are 738, 892, 321, 753

The list of prime factors of all numbers are

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

Prime factors of 892 are 2 x 2 x 223

Prime factors of 321 are 3 x 107

Prime factors of 753 are 3 x 251

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

Given numbers are 738, 892, 321, 753

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

Apply this formula for all numbers.

Step1:

LCM(738, 892) = 329148

GCD(738, 892) = ( 738 x 892 ) / 329148

= 738 / 892

= 738

Step2:

LCM(2, 321) = 642

GCD(2, 321) = ( 2 x 321 ) / 642

= 2 / 321

= 2

Step3:

LCM(1, 753) = 753

GCD(1, 753) = ( 1 x 753 ) / 753

= 1 / 753

= 1

So, Greatest Common Divisor of 738, 892, 321, 753 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 219, 266, 726, 821
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• GCD of 222, 405, 667, 732

Given numbers are 738, 892, 321, 753
The greatest common divisor of numbers 738, 892, 321, 753 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 892, 321, 753 is 1.

1. What is the GCD of 738, 892, 321, 753?

GCD of given numbers 738, 892, 321, 753 is 1

2. How to calculate the greatest common divisor of 738, 892, 321, 753?

We can find the highest common divisor of 738, 892, 321, 753 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, 892, 321, 753 i.e 1.

3. How can I use the GCD of 738, 892, 321, 753Calculator?

Out the numbers 738, 892, 321, 753 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.