GCD of 754, 224, 900, 165 Calculator

Given Input numbers are 754, 224, 900, 165

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

Divisors of 754 :

The positive integer divisors of 754 that completely divides 754 are.

1, 2, 13, 26, 29, 58, 377, 754

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

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

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

GCD of numbers is the greatest common divisor

So, the GCD (754, 224, 900, 165) = 1.

Given numbers are 754, 224, 900, 165

The list of prime factors of all numbers are

Prime factors of 754 are 2 x 13 x 29

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

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

Prime factors of 165 are 3 x 5 x 11

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

Given numbers are 754, 224, 900, 165

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

Apply this formula for all numbers.

Step1:

LCM(754, 224) = 84448

GCD(754, 224) = ( 754 x 224 ) / 84448

= 754 / 224

= 754

Step2:

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

= 2 / 900

= 2

Step3:

LCM(2, 165) = 330

GCD(2, 165) = ( 2 x 165 ) / 330

= 2 / 165

= 2

So, Greatest Common Divisor of 754, 224, 900, 165 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 221, 240, 731, 832
• GCD of 614, 647, 738, 949
• GCD of 978, 628, 517, 706
• GCD of 819, 905, 331, 566
• GCD of 723, 174, 254, 485

Given numbers are 754, 224, 900, 165
The greatest common divisor of numbers 754, 224, 900, 165 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 754, 224, 900, 165 is 1.

1. What is the GCD of 754, 224, 900, 165?

GCD of given numbers 754, 224, 900, 165 is 1

2. How to calculate the greatest common divisor of 754, 224, 900, 165?

We can find the highest common divisor of 754, 224, 900, 165 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 754, 224, 900, 165 i.e 1.

3. How can I use the GCD of 754, 224, 900, 165Calculator?

Out the numbers 754, 224, 900, 165 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.