GCD of 900, 678, 731, 358 Calculator

Given Input numbers are 900, 678, 731, 358

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

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 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

GCD of numbers is the greatest common divisor

So, the GCD (900, 678, 731, 358) = 1.

Given numbers are 900, 678, 731, 358

The list of prime factors of all numbers are

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

Prime factors of 678 are 2 x 3 x 113

Prime factors of 731 are 17 x 43

Prime factors of 358 are 2 x 179

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

Given numbers are 900, 678, 731, 358

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

Apply this formula for all numbers.

Step1:

LCM(900, 678) = 101700

GCD(900, 678) = ( 900 x 678 ) / 101700

= 900 / 678

= 900

Step2:

LCM(6, 731) = 4386

GCD(6, 731) = ( 6 x 731 ) / 4386

= 6 / 731

= 6

Step3:

LCM(1, 358) = 358

GCD(1, 358) = ( 1 x 358 ) / 358

= 1 / 358

= 1

So, Greatest Common Divisor of 900, 678, 731, 358 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 104, 359, 958, 805
• GCD of 493, 756, 219, 526
• GCD of 667, 982, 535, 459
• GCD of 139, 840, 442, 698
• GCD of 684, 586, 461, 750

Given numbers are 900, 678, 731, 358
The greatest common divisor of numbers 900, 678, 731, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 678, 731, 358 is 1.

1. What is the GCD of 900, 678, 731, 358?

GCD of given numbers 900, 678, 731, 358 is 1

2. How to calculate the greatest common divisor of 900, 678, 731, 358?

We can find the highest common divisor of 900, 678, 731, 358 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 900, 678, 731, 358 i.e 1.

3. How can I use the GCD of 900, 678, 731, 358Calculator?

Out the numbers 900, 678, 731, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.