GCD of 360, 762, 168, 549 Calculator

Given Input numbers are 360, 762, 168, 549

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 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 549 :

The positive integer divisors of 549 that completely divides 549 are.

1, 3, 9, 61, 183, 549

GCD of numbers is the greatest common divisor

So, the GCD (360, 762, 168, 549) = 3.

Given numbers are 360, 762, 168, 549

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 762 are 2 x 3 x 127

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 549 are 3 x 3 x 61

The highest common occurrence is 3¹

Therefore, GCD of 360, 762, 168, 549 is 3.

Given numbers are 360, 762, 168, 549

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

Apply this formula for all numbers.

Step1:

LCM(360, 762) = 45720

GCD(360, 762) = ( 360 x 762 ) / 45720

= 360 / 762

= 360

Step2:

LCM(6, 168) = 168

GCD(6, 168) = ( 6 x 168 ) / 168

= 6 / 168

= 6

Step3:

LCM(6, 549) = 1098

GCD(6, 549) = ( 6 x 549 ) / 1098

= 6 / 549

= 6

So, Greatest Common Divisor of 360, 762, 168, 549 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 431, 505, 473, 446
• GCD of 992, 795, 490, 635
• GCD of 412, 131, 983, 624
• GCD of 649, 417, 645, 591
• GCD of 194, 436, 829, 127

Given numbers are 360, 762, 168, 549
The greatest common divisor of numbers 360, 762, 168, 549 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 762, 168, 549 is 3.

1. What is the GCD of 360, 762, 168, 549?

GCD of given numbers 360, 762, 168, 549 is 3

2. How to calculate the greatest common divisor of 360, 762, 168, 549?

We can find the highest common divisor of 360, 762, 168, 549 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, 762, 168, 549 i.e 3.

3. How can I use the GCD of 360, 762, 168, 549Calculator?

Out the numbers 360, 762, 168, 549 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.