GCD of 546, 466, 600, 460 Calculator

Given Input numbers are 546, 466, 600, 460

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

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 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

GCD of numbers is the greatest common divisor

So, the GCD (546, 466, 600, 460) = 2.

Given numbers are 546, 466, 600, 460

The list of prime factors of all numbers are

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

Prime factors of 466 are 2 x 233

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 460 are 2 x 2 x 5 x 23

The highest common occurrence is 2¹

Therefore, GCD of 546, 466, 600, 460 is 2.

Given numbers are 546, 466, 600, 460

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

Apply this formula for all numbers.

Step1:

LCM(546, 466) = 127218

GCD(546, 466) = ( 546 x 466 ) / 127218

= 546 / 466

= 546

Step2:

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

= 2 / 600

= 2

Step3:

LCM(2, 460) = 460

GCD(2, 460) = ( 2 x 460 ) / 460

= 2 / 460

= 2

So, Greatest Common Divisor of 546, 466, 600, 460 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 392, 545, 644, 836
• GCD of 957, 442, 126, 894
• GCD of 900, 830, 918, 930
• GCD of 503, 438, 514, 369
• GCD of 830, 340, 216, 973

Given numbers are 546, 466, 600, 460
The greatest common divisor of numbers 546, 466, 600, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 546, 466, 600, 460 is 2.

1. What is the GCD of 546, 466, 600, 460?

GCD of given numbers 546, 466, 600, 460 is 2

2. How to calculate the greatest common divisor of 546, 466, 600, 460?

We can find the highest common divisor of 546, 466, 600, 460 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 546, 466, 600, 460 i.e 2.

3. How can I use the GCD of 546, 466, 600, 460Calculator?

Out the numbers 546, 466, 600, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.