GCD of 738, 509, 970, 224 Calculator

Given Input numbers are 738, 509, 970, 224

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 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

GCD of numbers is the greatest common divisor

So, the GCD (738, 509, 970, 224) = 1.

Given numbers are 738, 509, 970, 224

The list of prime factors of all numbers are

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

Prime factors of 509 are 509

Prime factors of 970 are 2 x 5 x 97

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

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

Given numbers are 738, 509, 970, 224

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

Apply this formula for all numbers.

Step1:

LCM(738, 509) = 375642

GCD(738, 509) = ( 738 x 509 ) / 375642

= 738 / 509

= 738

Step2:

LCM(1, 970) = 970

GCD(1, 970) = ( 1 x 970 ) / 970

= 1 / 970

= 1

Step3:

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

= 1 / 224

= 1

So, Greatest Common Divisor of 738, 509, 970, 224 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 702, 159, 773, 794
• GCD of 144, 574, 374, 140
• GCD of 555, 137, 112, 779
• GCD of 392, 293, 819, 684
• GCD of 521, 864, 357, 492

Given numbers are 738, 509, 970, 224
The greatest common divisor of numbers 738, 509, 970, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 509, 970, 224 is 1.

1. What is the GCD of 738, 509, 970, 224?

GCD of given numbers 738, 509, 970, 224 is 1

2. How to calculate the greatest common divisor of 738, 509, 970, 224?

We can find the highest common divisor of 738, 509, 970, 224 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, 509, 970, 224 i.e 1.

3. How can I use the GCD of 738, 509, 970, 224Calculator?

Out the numbers 738, 509, 970, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.