GCD of 156, 570, 182, 742 Calculator

Given Input numbers are 156, 570, 182, 742

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

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 570 :

The positive integer divisors of 570 that completely divides 570 are.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (156, 570, 182, 742) = 2.

Given numbers are 156, 570, 182, 742

The list of prime factors of all numbers are

Prime factors of 156 are 2 x 2 x 3 x 13

Prime factors of 570 are 2 x 3 x 5 x 19

Prime factors of 182 are 2 x 7 x 13

Prime factors of 742 are 2 x 7 x 53

The highest common occurrence is 2¹

Therefore, GCD of 156, 570, 182, 742 is 2.

Given numbers are 156, 570, 182, 742

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

Apply this formula for all numbers.

Step1:

LCM(156, 570) = 14820

GCD(156, 570) = ( 156 x 570 ) / 14820

= 156 / 570

= 156

Step2:

LCM(6, 182) = 546

GCD(6, 182) = ( 6 x 182 ) / 546

= 6 / 182

= 6

Step3:

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

= 2 / 742

= 2

So, Greatest Common Divisor of 156, 570, 182, 742 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 850, 705, 739, 401
• GCD of 355, 197, 187, 461
• GCD of 309, 965, 700, 924
• GCD of 909, 768, 285, 636
• GCD of 421, 131, 869, 563

Given numbers are 156, 570, 182, 742
The greatest common divisor of numbers 156, 570, 182, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 156, 570, 182, 742 is 2.

1. What is the GCD of 156, 570, 182, 742?

GCD of given numbers 156, 570, 182, 742 is 2

2. How to calculate the greatest common divisor of 156, 570, 182, 742?

We can find the highest common divisor of 156, 570, 182, 742 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 156, 570, 182, 742 i.e 2.

3. How can I use the GCD of 156, 570, 182, 742Calculator?

Out the numbers 156, 570, 182, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.