GCD of 429, 153, 313, 360 Calculator

Given Input numbers are 429, 153, 313, 360

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

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

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

GCD of numbers is the greatest common divisor

So, the GCD (429, 153, 313, 360) = 1.

Given numbers are 429, 153, 313, 360

The list of prime factors of all numbers are

Prime factors of 429 are 3 x 11 x 13

Prime factors of 153 are 3 x 3 x 17

Prime factors of 313 are 313

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

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

Given numbers are 429, 153, 313, 360

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

Apply this formula for all numbers.

Step1:

LCM(429, 153) = 21879

GCD(429, 153) = ( 429 x 153 ) / 21879

= 429 / 153

= 429

Step2:

LCM(3, 313) = 939

GCD(3, 313) = ( 3 x 313 ) / 939

= 3 / 313

= 3

Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

So, Greatest Common Divisor of 429, 153, 313, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 450, 255, 197, 237
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• GCD of 209, 207, 368, 268
• GCD of 905, 445, 566, 914
• GCD of 905, 326, 409, 502

Given numbers are 429, 153, 313, 360
The greatest common divisor of numbers 429, 153, 313, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 153, 313, 360 is 1.

1. What is the GCD of 429, 153, 313, 360?

GCD of given numbers 429, 153, 313, 360 is 1

2. How to calculate the greatest common divisor of 429, 153, 313, 360?

We can find the highest common divisor of 429, 153, 313, 360 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 429, 153, 313, 360 i.e 1.

3. How can I use the GCD of 429, 153, 313, 360Calculator?

Out the numbers 429, 153, 313, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.