GCD of 542, 460, 496, 132 Calculator

Given Input numbers are 542, 460, 496, 132

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

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

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

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

GCD of numbers is the greatest common divisor

So, the GCD (542, 460, 496, 132) = 2.

Given numbers are 542, 460, 496, 132

The list of prime factors of all numbers are

Prime factors of 542 are 2 x 271

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

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 132 are 2 x 2 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 542, 460, 496, 132 is 2.

Given numbers are 542, 460, 496, 132

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

Apply this formula for all numbers.

Step1:

LCM(542, 460) = 124660

GCD(542, 460) = ( 542 x 460 ) / 124660

= 542 / 460

= 542

Step2:

LCM(2, 496) = 496

GCD(2, 496) = ( 2 x 496 ) / 496

= 2 / 496

= 2

Step3:

LCM(2, 132) = 132

GCD(2, 132) = ( 2 x 132 ) / 132

= 2 / 132

= 2

So, Greatest Common Divisor of 542, 460, 496, 132 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 235, 274, 789, 380
• GCD of 198, 900, 297, 648
• GCD of 684, 429, 203, 578
• GCD of 646, 519, 960, 434
• GCD of 931, 958, 292, 628

Given numbers are 542, 460, 496, 132
The greatest common divisor of numbers 542, 460, 496, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 542, 460, 496, 132 is 2.

1. What is the GCD of 542, 460, 496, 132?

GCD of given numbers 542, 460, 496, 132 is 2

2. How to calculate the greatest common divisor of 542, 460, 496, 132?

We can find the highest common divisor of 542, 460, 496, 132 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 542, 460, 496, 132 i.e 2.

3. How can I use the GCD of 542, 460, 496, 132Calculator?

Out the numbers 542, 460, 496, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.