GCD of 360, 882, 546, 358 Calculator

Given Input numbers are 360, 882, 546, 358

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

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 (360, 882, 546, 358) = 2.

Given numbers are 360, 882, 546, 358

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 546 are 2 x 3 x 7 x 13

Prime factors of 358 are 2 x 179

The highest common occurrence is 2¹

Therefore, GCD of 360, 882, 546, 358 is 2.

Given numbers are 360, 882, 546, 358

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

Apply this formula for all numbers.

Step1:

LCM(360, 882) = 17640

GCD(360, 882) = ( 360 x 882 ) / 17640

= 360 / 882

= 360

Step2:

LCM(18, 546) = 1638

GCD(18, 546) = ( 18 x 546 ) / 1638

= 18 / 546

= 18

Step3:

LCM(6, 358) = 1074

GCD(6, 358) = ( 6 x 358 ) / 1074

= 6 / 358

= 6

So, Greatest Common Divisor of 360, 882, 546, 358 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 683, 535, 965, 650
• GCD of 961, 255, 339, 264
• GCD of 920, 514, 827, 804
• GCD of 698, 584, 245, 584
• GCD of 661, 864, 746, 944

Given numbers are 360, 882, 546, 358
The greatest common divisor of numbers 360, 882, 546, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 882, 546, 358 is 2.

1. What is the GCD of 360, 882, 546, 358?

GCD of given numbers 360, 882, 546, 358 is 2

2. How to calculate the greatest common divisor of 360, 882, 546, 358?

We can find the highest common divisor of 360, 882, 546, 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 360, 882, 546, 358 i.e 2.

3. How can I use the GCD of 360, 882, 546, 358Calculator?

Out the numbers 360, 882, 546, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.