GCD of 136, 540, 220, 450 Calculator

Given Input numbers are 136, 540, 220, 450

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

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

GCD of numbers is the greatest common divisor

So, the GCD (136, 540, 220, 450) = 2.

Given numbers are 136, 540, 220, 450

The list of prime factors of all numbers are

Prime factors of 136 are 2 x 2 x 2 x 17

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 136, 540, 220, 450 is 2.

Given numbers are 136, 540, 220, 450

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

Apply this formula for all numbers.

Step1:

LCM(136, 540) = 18360

GCD(136, 540) = ( 136 x 540 ) / 18360

= 136 / 540

= 136

Step2:

LCM(4, 220) = 220

GCD(4, 220) = ( 4 x 220 ) / 220

= 4 / 220

= 4

Step3:

LCM(4, 450) = 900

GCD(4, 450) = ( 4 x 450 ) / 900

= 4 / 450

= 4

So, Greatest Common Divisor of 136, 540, 220, 450 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 792, 484, 160, 663
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• GCD of 328, 973, 279, 433
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Given numbers are 136, 540, 220, 450
The greatest common divisor of numbers 136, 540, 220, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 136, 540, 220, 450 is 2.

1. What is the GCD of 136, 540, 220, 450?

GCD of given numbers 136, 540, 220, 450 is 2

2. How to calculate the greatest common divisor of 136, 540, 220, 450?

We can find the highest common divisor of 136, 540, 220, 450 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 136, 540, 220, 450 i.e 2.

3. How can I use the GCD of 136, 540, 220, 450Calculator?

Out the numbers 136, 540, 220, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.