GCD of 414, 360, 961, 375 Calculator

Given Input numbers are 414, 360, 961, 375

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

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

GCD of numbers is the greatest common divisor

So, the GCD (414, 360, 961, 375) = 1.

Given numbers are 414, 360, 961, 375

The list of prime factors of all numbers are

Prime factors of 414 are 2 x 3 x 3 x 23

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

Prime factors of 961 are 31 x 31

Prime factors of 375 are 3 x 5 x 5 x 5

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

Given numbers are 414, 360, 961, 375

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

Apply this formula for all numbers.

Step1:

LCM(414, 360) = 8280

GCD(414, 360) = ( 414 x 360 ) / 8280

= 414 / 360

= 414

Step2:

LCM(18, 961) = 17298

GCD(18, 961) = ( 18 x 961 ) / 17298

= 18 / 961

= 18

Step3:

LCM(1, 375) = 375

GCD(1, 375) = ( 1 x 375 ) / 375

= 1 / 375

= 1

So, Greatest Common Divisor of 414, 360, 961, 375 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 362, 709, 447, 825
• GCD of 375, 452, 924, 407
• GCD of 804, 973, 640, 100
• GCD of 846, 225, 369, 324
• GCD of 270, 857, 916, 126

Given numbers are 414, 360, 961, 375
The greatest common divisor of numbers 414, 360, 961, 375 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 414, 360, 961, 375 is 1.

1. What is the GCD of 414, 360, 961, 375?

GCD of given numbers 414, 360, 961, 375 is 1

2. How to calculate the greatest common divisor of 414, 360, 961, 375?

We can find the highest common divisor of 414, 360, 961, 375 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 414, 360, 961, 375 i.e 1.

3. How can I use the GCD of 414, 360, 961, 375Calculator?

Out the numbers 414, 360, 961, 375 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.