GCD of 352, 747, 218, 900 Calculator

Given Input numbers are 352, 747, 218, 900

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 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (352, 747, 218, 900) = 1.

Given numbers are 352, 747, 218, 900

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 747 are 3 x 3 x 83

Prime factors of 218 are 2 x 109

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

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

Given numbers are 352, 747, 218, 900

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

Apply this formula for all numbers.

Step1:

LCM(352, 747) = 262944

GCD(352, 747) = ( 352 x 747 ) / 262944

= 352 / 747

= 352

Step2:

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

= 1 / 218

= 1

Step3:

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

= 1 / 900

= 1

So, Greatest Common Divisor of 352, 747, 218, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 636, 238, 519, 937
• GCD of 442, 612, 112, 495
• GCD of 675, 657, 693, 243
• GCD of 591, 130, 851, 775
• GCD of 504, 899, 236, 856

Given numbers are 352, 747, 218, 900
The greatest common divisor of numbers 352, 747, 218, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 747, 218, 900 is 1.

1. What is the GCD of 352, 747, 218, 900?

GCD of given numbers 352, 747, 218, 900 is 1

2. How to calculate the greatest common divisor of 352, 747, 218, 900?

We can find the highest common divisor of 352, 747, 218, 900 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, 747, 218, 900 i.e 1.

3. How can I use the GCD of 352, 747, 218, 900Calculator?

Out the numbers 352, 747, 218, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.