GCD of 152, 992, 920, 452 Calculator

Given Input numbers are 152, 992, 920, 452

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 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

GCD of numbers is the greatest common divisor

So, the GCD (152, 992, 920, 452) = 4.

Given numbers are 152, 992, 920, 452

The list of prime factors of all numbers are

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

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 452 are 2 x 2 x 113

The highest common occurrence is 2²

Therefore, GCD of 152, 992, 920, 452 is 4.

Given numbers are 152, 992, 920, 452

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

Apply this formula for all numbers.

Step1:

LCM(152, 992) = 18848

GCD(152, 992) = ( 152 x 992 ) / 18848

= 152 / 992

= 152

Step2:

LCM(8, 920) = 920

GCD(8, 920) = ( 8 x 920 ) / 920

= 8 / 920

= 8

Step3:

LCM(8, 452) = 904

GCD(8, 452) = ( 8 x 452 ) / 904

= 8 / 452

= 8

So, Greatest Common Divisor of 152, 992, 920, 452 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 193, 839, 547, 275
• GCD of 576, 346, 660, 172
• GCD of 531, 740, 990, 937
• GCD of 163, 183, 694, 332
• GCD of 170, 750, 357, 217

Given numbers are 152, 992, 920, 452
The greatest common divisor of numbers 152, 992, 920, 452 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 152, 992, 920, 452 is 4.

1. What is the GCD of 152, 992, 920, 452?

GCD of given numbers 152, 992, 920, 452 is 4

2. How to calculate the greatest common divisor of 152, 992, 920, 452?

We can find the highest common divisor of 152, 992, 920, 452 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, 992, 920, 452 i.e 4.

3. How can I use the GCD of 152, 992, 920, 452Calculator?

Out the numbers 152, 992, 920, 452 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.