GCD of 360, 802, 648, 546 Calculator

Given Input numbers are 360, 802, 648, 546

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 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

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

GCD of numbers is the greatest common divisor

So, the GCD (360, 802, 648, 546) = 2.

Given numbers are 360, 802, 648, 546

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 802 are 2 x 401

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

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

The highest common occurrence is 2¹

Therefore, GCD of 360, 802, 648, 546 is 2.

Given numbers are 360, 802, 648, 546

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

Apply this formula for all numbers.

Step1:

LCM(360, 802) = 144360

GCD(360, 802) = ( 360 x 802 ) / 144360

= 360 / 802

= 360

Step2:

LCM(2, 648) = 648

GCD(2, 648) = ( 2 x 648 ) / 648

= 2 / 648

= 2

Step3:

LCM(2, 546) = 546

GCD(2, 546) = ( 2 x 546 ) / 546

= 2 / 546

= 2

So, Greatest Common Divisor of 360, 802, 648, 546 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 673, 100, 216, 613
• GCD of 252, 204, 179, 716
• GCD of 676, 174, 115, 236
• GCD of 125, 850, 834, 963
• GCD of 856, 501, 245, 776

Given numbers are 360, 802, 648, 546
The greatest common divisor of numbers 360, 802, 648, 546 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 802, 648, 546 is 2.

1. What is the GCD of 360, 802, 648, 546?

GCD of given numbers 360, 802, 648, 546 is 2

2. How to calculate the greatest common divisor of 360, 802, 648, 546?

We can find the highest common divisor of 360, 802, 648, 546 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, 802, 648, 546 i.e 2.

3. How can I use the GCD of 360, 802, 648, 546Calculator?

Out the numbers 360, 802, 648, 546 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.