GCD of 120, 882, 158, 506 Calculator

Given Input numbers are 120, 882, 158, 506

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 158 :

The positive integer divisors of 158 that completely divides 158 are.

1, 2, 79, 158

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

GCD of numbers is the greatest common divisor

So, the GCD (120, 882, 158, 506) = 2.

Given numbers are 120, 882, 158, 506

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 158 are 2 x 79

Prime factors of 506 are 2 x 11 x 23

The highest common occurrence is 2¹

Therefore, GCD of 120, 882, 158, 506 is 2.

Given numbers are 120, 882, 158, 506

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

Apply this formula for all numbers.

Step1:

LCM(120, 882) = 17640

GCD(120, 882) = ( 120 x 882 ) / 17640

= 120 / 882

= 120

Step2:

LCM(6, 158) = 474

GCD(6, 158) = ( 6 x 158 ) / 474

= 6 / 158

= 6

Step3:

LCM(2, 506) = 506

GCD(2, 506) = ( 2 x 506 ) / 506

= 2 / 506

= 2

So, Greatest Common Divisor of 120, 882, 158, 506 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 819, 445, 934, 885
• GCD of 137, 917, 243, 112
• GCD of 379, 926, 530, 499
• GCD of 803, 343, 996, 622
• GCD of 881, 914, 117, 752

Given numbers are 120, 882, 158, 506
The greatest common divisor of numbers 120, 882, 158, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 882, 158, 506 is 2.

1. What is the GCD of 120, 882, 158, 506?

GCD of given numbers 120, 882, 158, 506 is 2

2. How to calculate the greatest common divisor of 120, 882, 158, 506?

We can find the highest common divisor of 120, 882, 158, 506 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 120, 882, 158, 506 i.e 2.

3. How can I use the GCD of 120, 882, 158, 506Calculator?

Out the numbers 120, 882, 158, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.