GCD of 360, 344, 469, 991 Calculator

Given Input numbers are 360, 344, 469, 991

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 469 :

The positive integer divisors of 469 that completely divides 469 are.

1, 7, 67, 469

Divisors of 991 :

The positive integer divisors of 991 that completely divides 991 are.

1, 991

GCD of numbers is the greatest common divisor

So, the GCD (360, 344, 469, 991) = 1.

Given numbers are 360, 344, 469, 991

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 469 are 7 x 67

Prime factors of 991 are 991

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

Given numbers are 360, 344, 469, 991

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

Apply this formula for all numbers.

Step1:

LCM(360, 344) = 15480

GCD(360, 344) = ( 360 x 344 ) / 15480

= 360 / 344

= 360

Step2:

LCM(8, 469) = 3752

GCD(8, 469) = ( 8 x 469 ) / 3752

= 8 / 469

= 8

Step3:

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

= 1 / 991

= 1

So, Greatest Common Divisor of 360, 344, 469, 991 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 212, 558, 472, 234
• GCD of 721, 275, 400, 803
• GCD of 275, 201, 664, 249
• GCD of 571, 971, 425, 405
• GCD of 985, 772, 812, 786

Given numbers are 360, 344, 469, 991
The greatest common divisor of numbers 360, 344, 469, 991 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 344, 469, 991 is 1.

1. What is the GCD of 360, 344, 469, 991?

GCD of given numbers 360, 344, 469, 991 is 1

2. How to calculate the greatest common divisor of 360, 344, 469, 991?

We can find the highest common divisor of 360, 344, 469, 991 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 360, 344, 469, 991 i.e 1.

3. How can I use the GCD of 360, 344, 469, 991Calculator?

Out the numbers 360, 344, 469, 991 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.