GCD of 352, 217, 600, 356 Calculator

Given Input numbers are 352, 217, 600, 356

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 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

GCD of numbers is the greatest common divisor

So, the GCD (352, 217, 600, 356) = 1.

Given numbers are 352, 217, 600, 356

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 217 are 7 x 31

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 356 are 2 x 2 x 89

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

Given numbers are 352, 217, 600, 356

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

Apply this formula for all numbers.

Step1:

LCM(352, 217) = 76384

GCD(352, 217) = ( 352 x 217 ) / 76384

= 352 / 217

= 352

Step2:

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

= 1 / 600

= 1

Step3:

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

= 1 / 356

= 1

So, Greatest Common Divisor of 352, 217, 600, 356 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 188, 397, 475, 700
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Given numbers are 352, 217, 600, 356
The greatest common divisor of numbers 352, 217, 600, 356 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 217, 600, 356 is 1.

1. What is the GCD of 352, 217, 600, 356?

GCD of given numbers 352, 217, 600, 356 is 1

2. How to calculate the greatest common divisor of 352, 217, 600, 356?

We can find the highest common divisor of 352, 217, 600, 356 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, 217, 600, 356 i.e 1.

3. How can I use the GCD of 352, 217, 600, 356Calculator?

Out the numbers 352, 217, 600, 356 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.