GCD of 562, 540, 252, 100 Calculator

Given Input numbers are 562, 540, 252, 100

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

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

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 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

GCD of numbers is the greatest common divisor

So, the GCD (562, 540, 252, 100) = 2.

Given numbers are 562, 540, 252, 100

The list of prime factors of all numbers are

Prime factors of 562 are 2 x 281

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

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 100 are 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 562, 540, 252, 100 is 2.

Given numbers are 562, 540, 252, 100

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

Apply this formula for all numbers.

Step1:

LCM(562, 540) = 151740

GCD(562, 540) = ( 562 x 540 ) / 151740

= 562 / 540

= 562

Step2:

LCM(2, 252) = 252

GCD(2, 252) = ( 2 x 252 ) / 252

= 2 / 252

= 2

Step3:

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

= 2 / 100

= 2

So, Greatest Common Divisor of 562, 540, 252, 100 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 909, 696, 762, 479
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Given numbers are 562, 540, 252, 100
The greatest common divisor of numbers 562, 540, 252, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 562, 540, 252, 100 is 2.

1. What is the GCD of 562, 540, 252, 100?

GCD of given numbers 562, 540, 252, 100 is 2

2. How to calculate the greatest common divisor of 562, 540, 252, 100?

We can find the highest common divisor of 562, 540, 252, 100 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 562, 540, 252, 100 i.e 2.

3. How can I use the GCD of 562, 540, 252, 100Calculator?

Out the numbers 562, 540, 252, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.