GCD of 726, 112, 642, 126 Calculator

Given Input numbers are 726, 112, 642, 126

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

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

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 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

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 (726, 112, 642, 126) = 2.

Given numbers are 726, 112, 642, 126

The list of prime factors of all numbers are

Prime factors of 726 are 2 x 3 x 11 x 11

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

Prime factors of 642 are 2 x 3 x 107

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

The highest common occurrence is 2¹

Therefore, GCD of 726, 112, 642, 126 is 2.

Given numbers are 726, 112, 642, 126

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

Apply this formula for all numbers.

Step1:

LCM(726, 112) = 40656

GCD(726, 112) = ( 726 x 112 ) / 40656

= 726 / 112

= 726

Step2:

LCM(2, 642) = 642

GCD(2, 642) = ( 2 x 642 ) / 642

= 2 / 642

= 2

Step3:

LCM(2, 126) = 126

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

= 2 / 126

= 2

So, Greatest Common Divisor of 726, 112, 642, 126 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 331, 326, 386, 705
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Given numbers are 726, 112, 642, 126
The greatest common divisor of numbers 726, 112, 642, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 112, 642, 126 is 2.

1. What is the GCD of 726, 112, 642, 126?

GCD of given numbers 726, 112, 642, 126 is 2

2. How to calculate the greatest common divisor of 726, 112, 642, 126?

We can find the highest common divisor of 726, 112, 642, 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 726, 112, 642, 126 i.e 2.

3. How can I use the GCD of 726, 112, 642, 126Calculator?

Out the numbers 726, 112, 642, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.