GCD of 145, 150, 380, 992 Calculator

Given Input numbers are 145, 150, 380, 992

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

Divisors of 145 :

The positive integer divisors of 145 that completely divides 145 are.

1, 5, 29, 145

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

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 992 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (145, 150, 380, 992) = 1.

Given numbers are 145, 150, 380, 992

The list of prime factors of all numbers are

Prime factors of 145 are 5 x 29

Prime factors of 150 are 2 x 3 x 5 x 5

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

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 145, 150, 380, 992

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

Apply this formula for all numbers.

Step1:

LCM(145, 150) = 4350

GCD(145, 150) = ( 145 x 150 ) / 4350

= 145 / 150

= 145

Step2:

LCM(5, 380) = 380

GCD(5, 380) = ( 5 x 380 ) / 380

= 5 / 380

= 5

Step3:

LCM(5, 992) = 4960

GCD(5, 992) = ( 5 x 992 ) / 4960

= 5 / 992

= 5

So, Greatest Common Divisor of 145, 150, 380, 992 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 658, 641, 448, 798
• GCD of 568, 648, 357, 450
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Given numbers are 145, 150, 380, 992
The greatest common divisor of numbers 145, 150, 380, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 145, 150, 380, 992 is 1.

1. What is the GCD of 145, 150, 380, 992?

GCD of given numbers 145, 150, 380, 992 is 1

2. How to calculate the greatest common divisor of 145, 150, 380, 992?

We can find the highest common divisor of 145, 150, 380, 992 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 145, 150, 380, 992 i.e 1.

3. How can I use the GCD of 145, 150, 380, 992Calculator?

Out the numbers 145, 150, 380, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.