GCD of 360, 123, 134, 705 Calculator

Given Input numbers are 360, 123, 134, 705

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 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

GCD of numbers is the greatest common divisor

So, the GCD (360, 123, 134, 705) = 1.

Given numbers are 360, 123, 134, 705

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 123 are 3 x 41

Prime factors of 134 are 2 x 67

Prime factors of 705 are 3 x 5 x 47

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

Given numbers are 360, 123, 134, 705

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

Apply this formula for all numbers.

Step1:

LCM(360, 123) = 14760

GCD(360, 123) = ( 360 x 123 ) / 14760

= 360 / 123

= 360

Step2:

LCM(3, 134) = 402

GCD(3, 134) = ( 3 x 134 ) / 402

= 3 / 134

= 3

Step3:

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

= 1 / 705

= 1

So, Greatest Common Divisor of 360, 123, 134, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 299, 630, 119, 292
• GCD of 405, 331, 277, 605
• GCD of 688, 920, 413, 409
• GCD of 694, 658, 479, 833
• GCD of 233, 456, 501, 967

Given numbers are 360, 123, 134, 705
The greatest common divisor of numbers 360, 123, 134, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 123, 134, 705 is 1.

1. What is the GCD of 360, 123, 134, 705?

GCD of given numbers 360, 123, 134, 705 is 1

2. How to calculate the greatest common divisor of 360, 123, 134, 705?

We can find the highest common divisor of 360, 123, 134, 705 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, 123, 134, 705 i.e 1.

3. How can I use the GCD of 360, 123, 134, 705Calculator?

Out the numbers 360, 123, 134, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.