GCD of 562, 112, 352, 126 Calculator

Given Input numbers are 562, 112, 352, 126

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 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

GCD of numbers is the greatest common divisor

So, the GCD (562, 112, 352, 126) = 2.

Given numbers are 562, 112, 352, 126

The list of prime factors of all numbers are

Prime factors of 562 are 2 x 281

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 126 are 2 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 562, 112, 352, 126 is 2.

Given numbers are 562, 112, 352, 126

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

Apply this formula for all numbers.

Step1:

LCM(562, 112) = 31472

GCD(562, 112) = ( 562 x 112 ) / 31472

= 562 / 112

= 562

Step2:

LCM(2, 352) = 352

GCD(2, 352) = ( 2 x 352 ) / 352

= 2 / 352

= 2

Step3:

LCM(2, 126) = 126

GCD(2, 126) = ( 2 x 126 ) / 126

= 2 / 126

= 2

So, Greatest Common Divisor of 562, 112, 352, 126 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 755, 758, 779, 990
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• GCD of 130, 748, 566, 529

Given numbers are 562, 112, 352, 126
The greatest common divisor of numbers 562, 112, 352, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 562, 112, 352, 126 is 2.

1. What is the GCD of 562, 112, 352, 126?

GCD of given numbers 562, 112, 352, 126 is 2

2. How to calculate the greatest common divisor of 562, 112, 352, 126?

We can find the highest common divisor of 562, 112, 352, 126 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, 112, 352, 126 i.e 2.

3. How can I use the GCD of 562, 112, 352, 126Calculator?

Out the numbers 562, 112, 352, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.