GCD of 352, 738, 20, 464 Calculator

Given Input numbers are 352, 738, 20, 464

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

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

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 20 :

The positive integer divisors of 20 that completely divides 20 are.

1, 2, 4, 5, 10, 20

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

GCD of numbers is the greatest common divisor

So, the GCD (352, 738, 20, 464) = 2.

Given numbers are 352, 738, 20, 464

The list of prime factors of all numbers are

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

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

Prime factors of 20 are 2 x 2 x 5

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 352, 738, 20, 464 is 2.

Given numbers are 352, 738, 20, 464

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

Apply this formula for all numbers.

Step1:

LCM(352, 738) = 129888

GCD(352, 738) = ( 352 x 738 ) / 129888

= 352 / 738

= 352

Step2:

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

= 2 / 20

= 2

Step3:

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

= 2 / 464

= 2

So, Greatest Common Divisor of 352, 738, 20, 464 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 370, 513, 97, 713
• GCD of 818, 802, 61, 256
• GCD of 878, 298, 92, 601
• GCD of 727, 487, 86, 416
• GCD of 599, 460, 16, 129

Given numbers are 352, 738, 20, 464
The greatest common divisor of numbers 352, 738, 20, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 738, 20, 464 is 2.

1. What is the GCD of 352, 738, 20, 464?

GCD of given numbers 352, 738, 20, 464 is 2

2. How to calculate the greatest common divisor of 352, 738, 20, 464?

We can find the highest common divisor of 352, 738, 20, 464 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 352, 738, 20, 464 i.e 2.

3. How can I use the GCD of 352, 738, 20, 464Calculator?

Out the numbers 352, 738, 20, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.