GCD of 990, 145, 410, 370 Calculator

Given Input numbers are 990, 145, 410, 370

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

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 145 :

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

1, 5, 29, 145

Divisors of 410 :

The positive integer divisors of 410 that completely divides 410 are.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

GCD of numbers is the greatest common divisor

So, the GCD (990, 145, 410, 370) = 5.

Given numbers are 990, 145, 410, 370

The list of prime factors of all numbers are

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 145 are 5 x 29

Prime factors of 410 are 2 x 5 x 41

Prime factors of 370 are 2 x 5 x 37

The highest common occurrence is 5¹

Therefore, GCD of 990, 145, 410, 370 is 5.

Given numbers are 990, 145, 410, 370

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

Apply this formula for all numbers.

Step1:

LCM(990, 145) = 28710

GCD(990, 145) = ( 990 x 145 ) / 28710

= 990 / 145

= 990

Step2:

LCM(5, 410) = 410

GCD(5, 410) = ( 5 x 410 ) / 410

= 5 / 410

= 5

Step3:

LCM(5, 370) = 370

GCD(5, 370) = ( 5 x 370 ) / 370

= 5 / 370

= 5

So, Greatest Common Divisor of 990, 145, 410, 370 is 5

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• GCD of 935, 142, 140, 116
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Given numbers are 990, 145, 410, 370
The greatest common divisor of numbers 990, 145, 410, 370 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 145, 410, 370 is 5.

1. What is the GCD of 990, 145, 410, 370?

GCD of given numbers 990, 145, 410, 370 is 5

2. How to calculate the greatest common divisor of 990, 145, 410, 370?

We can find the highest common divisor of 990, 145, 410, 370 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 990, 145, 410, 370 i.e 5.

3. How can I use the GCD of 990, 145, 410, 370Calculator?

Out the numbers 990, 145, 410, 370 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.