GCD of 961, 825, 165, 200 Calculator

Given Input numbers are 961, 825, 165, 200

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

Divisors of 961 :

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

1, 31, 961

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

GCD of numbers is the greatest common divisor

So, the GCD (961, 825, 165, 200) = 1.

Given numbers are 961, 825, 165, 200

The list of prime factors of all numbers are

Prime factors of 961 are 31 x 31

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 165 are 3 x 5 x 11

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

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

Given numbers are 961, 825, 165, 200

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

Apply this formula for all numbers.

Step1:

LCM(961, 825) = 792825

GCD(961, 825) = ( 961 x 825 ) / 792825

= 961 / 825

= 961

Step2:

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

= 1 / 165

= 1

Step3:

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

= 1 / 200

= 1

So, Greatest Common Divisor of 961, 825, 165, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 442, 256, 608, 562
• GCD of 845, 894, 862, 706
• GCD of 175, 438, 172, 261
• GCD of 924, 233, 398, 587
• GCD of 103, 264, 251, 555

Given numbers are 961, 825, 165, 200
The greatest common divisor of numbers 961, 825, 165, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 961, 825, 165, 200 is 1.

1. What is the GCD of 961, 825, 165, 200?

GCD of given numbers 961, 825, 165, 200 is 1

2. How to calculate the greatest common divisor of 961, 825, 165, 200?

We can find the highest common divisor of 961, 825, 165, 200 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 961, 825, 165, 200 i.e 1.

3. How can I use the GCD of 961, 825, 165, 200Calculator?

Out the numbers 961, 825, 165, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.