GCD of 360, 351, 147, 209 Calculator

Given Input numbers are 360, 351, 147, 209

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 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

GCD of numbers is the greatest common divisor

So, the GCD (360, 351, 147, 209) = 1.

Given numbers are 360, 351, 147, 209

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 351 are 3 x 3 x 3 x 13

Prime factors of 147 are 3 x 7 x 7

Prime factors of 209 are 11 x 19

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

Given numbers are 360, 351, 147, 209

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

Apply this formula for all numbers.

Step1:

LCM(360, 351) = 14040

GCD(360, 351) = ( 360 x 351 ) / 14040

= 360 / 351

= 360

Step2:

LCM(9, 147) = 441

GCD(9, 147) = ( 9 x 147 ) / 441

= 9 / 147

= 9

Step3:

LCM(3, 209) = 627

GCD(3, 209) = ( 3 x 209 ) / 627

= 3 / 209

= 3

So, Greatest Common Divisor of 360, 351, 147, 209 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 136, 366, 820, 188
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• GCD of 185, 329, 594, 800
• GCD of 316, 845, 870, 933
• GCD of 412, 917, 839, 830

Given numbers are 360, 351, 147, 209
The greatest common divisor of numbers 360, 351, 147, 209 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 351, 147, 209 is 1.

1. What is the GCD of 360, 351, 147, 209?

GCD of given numbers 360, 351, 147, 209 is 1

2. How to calculate the greatest common divisor of 360, 351, 147, 209?

We can find the highest common divisor of 360, 351, 147, 209 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, 351, 147, 209 i.e 1.

3. How can I use the GCD of 360, 351, 147, 209Calculator?

Out the numbers 360, 351, 147, 209 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.