GCD of 152, 784, 380, 320 Calculator

Given Input numbers are 152, 784, 380, 320

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 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

GCD of numbers is the greatest common divisor

So, the GCD (152, 784, 380, 320) = 4.

Given numbers are 152, 784, 380, 320

The list of prime factors of all numbers are

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

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 2²

Therefore, GCD of 152, 784, 380, 320 is 4.

Given numbers are 152, 784, 380, 320

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

Apply this formula for all numbers.

Step1:

LCM(152, 784) = 14896

GCD(152, 784) = ( 152 x 784 ) / 14896

= 152 / 784

= 152

Step2:

LCM(8, 380) = 760

GCD(8, 380) = ( 8 x 380 ) / 760

= 8 / 380

= 8

Step3:

LCM(4, 320) = 320

GCD(4, 320) = ( 4 x 320 ) / 320

= 4 / 320

= 4

So, Greatest Common Divisor of 152, 784, 380, 320 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 369, 426, 103, 670
• GCD of 701, 858, 878, 604
• GCD of 995, 485, 776, 726
• GCD of 173, 346, 953, 553
• GCD of 676, 409, 501, 520

Given numbers are 152, 784, 380, 320
The greatest common divisor of numbers 152, 784, 380, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 152, 784, 380, 320 is 4.

1. What is the GCD of 152, 784, 380, 320?

GCD of given numbers 152, 784, 380, 320 is 4

2. How to calculate the greatest common divisor of 152, 784, 380, 320?

We can find the highest common divisor of 152, 784, 380, 320 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, 784, 380, 320 i.e 4.

3. How can I use the GCD of 152, 784, 380, 320Calculator?

Out the numbers 152, 784, 380, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.