GCD of 360, 827, 413, 307 Calculator

Given Input numbers are 360, 827, 413, 307

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 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827

Divisors of 413 :

The positive integer divisors of 413 that completely divides 413 are.

1, 7, 59, 413

Divisors of 307 :

The positive integer divisors of 307 that completely divides 307 are.

1, 307

GCD of numbers is the greatest common divisor

So, the GCD (360, 827, 413, 307) = 1.

Given numbers are 360, 827, 413, 307

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 827 are 827

Prime factors of 413 are 7 x 59

Prime factors of 307 are 307

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

Given numbers are 360, 827, 413, 307

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

Apply this formula for all numbers.

Step1:

LCM(360, 827) = 297720

GCD(360, 827) = ( 360 x 827 ) / 297720

= 360 / 827

= 360

Step2:

LCM(1, 413) = 413

GCD(1, 413) = ( 1 x 413 ) / 413

= 1 / 413

= 1

Step3:

LCM(1, 307) = 307

GCD(1, 307) = ( 1 x 307 ) / 307

= 1 / 307

= 1

So, Greatest Common Divisor of 360, 827, 413, 307 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 930, 890, 838, 492
• GCD of 938, 492, 206, 264
• GCD of 959, 648, 766, 881
• GCD of 689, 600, 844, 913
• GCD of 942, 131, 553, 964

Given numbers are 360, 827, 413, 307
The greatest common divisor of numbers 360, 827, 413, 307 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 827, 413, 307 is 1.

1. What is the GCD of 360, 827, 413, 307?

GCD of given numbers 360, 827, 413, 307 is 1

2. How to calculate the greatest common divisor of 360, 827, 413, 307?

We can find the highest common divisor of 360, 827, 413, 307 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, 827, 413, 307 i.e 1.

3. How can I use the GCD of 360, 827, 413, 307Calculator?

Out the numbers 360, 827, 413, 307 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.