GCD of 738, 909, 880, 408 Calculator

Given Input numbers are 738, 909, 880, 408

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 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 880 :

The positive integer divisors of 880 that completely divides 880 are.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

GCD of numbers is the greatest common divisor

So, the GCD (738, 909, 880, 408) = 1.

Given numbers are 738, 909, 880, 408

The list of prime factors of all numbers are

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

Prime factors of 909 are 3 x 3 x 101

Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

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

Given numbers are 738, 909, 880, 408

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

Apply this formula for all numbers.

Step1:

LCM(738, 909) = 74538

GCD(738, 909) = ( 738 x 909 ) / 74538

= 738 / 909

= 738

Step2:

LCM(9, 880) = 7920

GCD(9, 880) = ( 9 x 880 ) / 7920

= 9 / 880

= 9

Step3:

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

= 1 / 408

= 1

So, Greatest Common Divisor of 738, 909, 880, 408 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 794, 910, 270, 616
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Given numbers are 738, 909, 880, 408
The greatest common divisor of numbers 738, 909, 880, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 909, 880, 408 is 1.

1. What is the GCD of 738, 909, 880, 408?

GCD of given numbers 738, 909, 880, 408 is 1

2. How to calculate the greatest common divisor of 738, 909, 880, 408?

We can find the highest common divisor of 738, 909, 880, 408 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, 909, 880, 408 i.e 1.

3. How can I use the GCD of 738, 909, 880, 408Calculator?

Out the numbers 738, 909, 880, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.