GCD of 360, 290, 149, 378 Calculator

Given Input numbers are 360, 290, 149, 378

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 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

GCD of numbers is the greatest common divisor

So, the GCD (360, 290, 149, 378) = 1.

Given numbers are 360, 290, 149, 378

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 290 are 2 x 5 x 29

Prime factors of 149 are 149

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

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

Given numbers are 360, 290, 149, 378

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

Apply this formula for all numbers.

Step1:

LCM(360, 290) = 10440

GCD(360, 290) = ( 360 x 290 ) / 10440

= 360 / 290

= 360

Step2:

LCM(10, 149) = 1490

GCD(10, 149) = ( 10 x 149 ) / 1490

= 10 / 149

= 10

Step3:

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

= 1 / 378

= 1

So, Greatest Common Divisor of 360, 290, 149, 378 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 479, 162, 197, 153
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• GCD of 493, 255, 606, 665
• GCD of 984, 765, 323, 356
• GCD of 687, 323, 546, 562

Given numbers are 360, 290, 149, 378
The greatest common divisor of numbers 360, 290, 149, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 290, 149, 378 is 1.

1. What is the GCD of 360, 290, 149, 378?

GCD of given numbers 360, 290, 149, 378 is 1

2. How to calculate the greatest common divisor of 360, 290, 149, 378?

We can find the highest common divisor of 360, 290, 149, 378 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, 290, 149, 378 i.e 1.

3. How can I use the GCD of 360, 290, 149, 378Calculator?

Out the numbers 360, 290, 149, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.