GCD of 156, 116, 874, 364 Calculator

Given Input numbers are 156, 116, 874, 364

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 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (156, 116, 874, 364) = 2.

Given numbers are 156, 116, 874, 364

The list of prime factors of all numbers are

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

Prime factors of 116 are 2 x 2 x 29

Prime factors of 874 are 2 x 19 x 23

Prime factors of 364 are 2 x 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 156, 116, 874, 364 is 2.

Given numbers are 156, 116, 874, 364

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

Apply this formula for all numbers.

Step1:

LCM(156, 116) = 4524

GCD(156, 116) = ( 156 x 116 ) / 4524

= 156 / 116

= 156

Step2:

LCM(4, 874) = 1748

GCD(4, 874) = ( 4 x 874 ) / 1748

= 4 / 874

= 4

Step3:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

So, Greatest Common Divisor of 156, 116, 874, 364 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 990, 153, 967, 479
• GCD of 465, 306, 860, 652
• GCD of 155, 576, 786, 457
• GCD of 584, 745, 124, 387
• GCD of 761, 303, 644, 593

Given numbers are 156, 116, 874, 364
The greatest common divisor of numbers 156, 116, 874, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 156, 116, 874, 364 is 2.

1. What is the GCD of 156, 116, 874, 364?

GCD of given numbers 156, 116, 874, 364 is 2

2. How to calculate the greatest common divisor of 156, 116, 874, 364?

We can find the highest common divisor of 156, 116, 874, 364 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, 116, 874, 364 i.e 2.

3. How can I use the GCD of 156, 116, 874, 364Calculator?

Out the numbers 156, 116, 874, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.