GCD of 152, 376, 300, 108 Calculator

Given Input numbers are 152, 376, 300, 108

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 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (152, 376, 300, 108) = 4.

Given numbers are 152, 376, 300, 108

The list of prime factors of all numbers are

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

Prime factors of 376 are 2 x 2 x 2 x 47

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2²

Therefore, GCD of 152, 376, 300, 108 is 4.

Given numbers are 152, 376, 300, 108

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

Apply this formula for all numbers.

Step1:

LCM(152, 376) = 7144

GCD(152, 376) = ( 152 x 376 ) / 7144

= 152 / 376

= 152

Step2:

LCM(8, 300) = 600

GCD(8, 300) = ( 8 x 300 ) / 600

= 8 / 300

= 8

Step3:

LCM(4, 108) = 108

GCD(4, 108) = ( 4 x 108 ) / 108

= 4 / 108

= 4

So, Greatest Common Divisor of 152, 376, 300, 108 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 351, 242, 175, 277
• GCD of 131, 224, 660, 651
• GCD of 839, 692, 611, 857
• GCD of 575, 408, 893, 964
• GCD of 170, 308, 918, 281

Given numbers are 152, 376, 300, 108
The greatest common divisor of numbers 152, 376, 300, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 152, 376, 300, 108 is 4.

1. What is the GCD of 152, 376, 300, 108?

GCD of given numbers 152, 376, 300, 108 is 4

2. How to calculate the greatest common divisor of 152, 376, 300, 108?

We can find the highest common divisor of 152, 376, 300, 108 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, 376, 300, 108 i.e 4.

3. How can I use the GCD of 152, 376, 300, 108Calculator?

Out the numbers 152, 376, 300, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.