GCD of 360, 698, 961, 970 Calculator

Given Input numbers are 360, 698, 961, 970

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 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 961 :

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

1, 31, 961

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

GCD of numbers is the greatest common divisor

So, the GCD (360, 698, 961, 970) = 1.

Given numbers are 360, 698, 961, 970

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 698 are 2 x 349

Prime factors of 961 are 31 x 31

Prime factors of 970 are 2 x 5 x 97

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

Given numbers are 360, 698, 961, 970

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

Apply this formula for all numbers.

Step1:

LCM(360, 698) = 125640

GCD(360, 698) = ( 360 x 698 ) / 125640

= 360 / 698

= 360

Step2:

LCM(2, 961) = 1922

GCD(2, 961) = ( 2 x 961 ) / 1922

= 2 / 961

= 2

Step3:

LCM(1, 970) = 970

GCD(1, 970) = ( 1 x 970 ) / 970

= 1 / 970

= 1

So, Greatest Common Divisor of 360, 698, 961, 970 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 848, 933, 560, 989
• GCD of 218, 286, 514, 883
• GCD of 740, 400, 317, 111
• GCD of 733, 437, 390, 836
• GCD of 520, 171, 278, 728

Given numbers are 360, 698, 961, 970
The greatest common divisor of numbers 360, 698, 961, 970 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 698, 961, 970 is 1.

1. What is the GCD of 360, 698, 961, 970?

GCD of given numbers 360, 698, 961, 970 is 1

2. How to calculate the greatest common divisor of 360, 698, 961, 970?

We can find the highest common divisor of 360, 698, 961, 970 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, 698, 961, 970 i.e 1.

3. How can I use the GCD of 360, 698, 961, 970Calculator?

Out the numbers 360, 698, 961, 970 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.