GCD of 152, 788, 756, 542 Calculator

Given Input numbers are 152, 788, 756, 542

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

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

GCD of numbers is the greatest common divisor

So, the GCD (152, 788, 756, 542) = 2.

Given numbers are 152, 788, 756, 542

The list of prime factors of all numbers are

Prime factors of 152 are 2 x 2 x 2 x 19

Prime factors of 788 are 2 x 2 x 197

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 542 are 2 x 271

The highest common occurrence is 2¹

Therefore, GCD of 152, 788, 756, 542 is 2.

Given numbers are 152, 788, 756, 542

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

Apply this formula for all numbers.

Step1:

LCM(152, 788) = 29944

GCD(152, 788) = ( 152 x 788 ) / 29944

= 152 / 788

= 152

Step2:

LCM(4, 756) = 756

GCD(4, 756) = ( 4 x 756 ) / 756

= 4 / 756

= 4

Step3:

LCM(4, 542) = 1084

GCD(4, 542) = ( 4 x 542 ) / 1084

= 4 / 542

= 4

So, Greatest Common Divisor of 152, 788, 756, 542 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 100, 395, 630, 885
• GCD of 386, 998, 568, 469
• GCD of 908, 298, 803, 134
• GCD of 423, 522, 306, 333
• GCD of 214, 578, 448, 240

Given numbers are 152, 788, 756, 542
The greatest common divisor of numbers 152, 788, 756, 542 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 152, 788, 756, 542 is 2.

1. What is the GCD of 152, 788, 756, 542?

GCD of given numbers 152, 788, 756, 542 is 2

2. How to calculate the greatest common divisor of 152, 788, 756, 542?

We can find the highest common divisor of 152, 788, 756, 542 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 152, 788, 756, 542 i.e 2.

3. How can I use the GCD of 152, 788, 756, 542Calculator?

Out the numbers 152, 788, 756, 542 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.