GCD of 380, 616, 992, 146 Calculator

Given Input numbers are 380, 616, 992, 146

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

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 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

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 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

GCD of numbers is the greatest common divisor

So, the GCD (380, 616, 992, 146) = 2.

Given numbers are 380, 616, 992, 146

The list of prime factors of all numbers are

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

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

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

Prime factors of 146 are 2 x 73

The highest common occurrence is 2¹

Therefore, GCD of 380, 616, 992, 146 is 2.

Given numbers are 380, 616, 992, 146

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

Apply this formula for all numbers.

Step1:

LCM(380, 616) = 58520

GCD(380, 616) = ( 380 x 616 ) / 58520

= 380 / 616

= 380

Step2:

LCM(4, 992) = 992

GCD(4, 992) = ( 4 x 992 ) / 992

= 4 / 992

= 4

Step3:

LCM(4, 146) = 292

GCD(4, 146) = ( 4 x 146 ) / 292

= 4 / 146

= 4

So, Greatest Common Divisor of 380, 616, 992, 146 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 396, 359, 455, 847
• GCD of 442, 316, 364, 262
• GCD of 959, 707, 727, 845
• GCD of 104, 517, 148, 372
• GCD of 662, 384, 288, 260

Given numbers are 380, 616, 992, 146
The greatest common divisor of numbers 380, 616, 992, 146 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 616, 992, 146 is 2.

1. What is the GCD of 380, 616, 992, 146?

GCD of given numbers 380, 616, 992, 146 is 2

2. How to calculate the greatest common divisor of 380, 616, 992, 146?

We can find the highest common divisor of 380, 616, 992, 146 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 380, 616, 992, 146 i.e 2.

3. How can I use the GCD of 380, 616, 992, 146Calculator?

Out the numbers 380, 616, 992, 146 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.