GCD of 400, 949, 105, 165 Calculator

Given Input numbers are 400, 949, 105, 165

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

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 949 :

The positive integer divisors of 949 that completely divides 949 are.

1, 13, 73, 949

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 165 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (400, 949, 105, 165) = 1.

Given numbers are 400, 949, 105, 165

The list of prime factors of all numbers are

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 949 are 13 x 73

Prime factors of 105 are 3 x 5 x 7

Prime factors of 165 are 3 x 5 x 11

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

Given numbers are 400, 949, 105, 165

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

Apply this formula for all numbers.

Step1:

LCM(400, 949) = 379600

GCD(400, 949) = ( 400 x 949 ) / 379600

= 400 / 949

= 400

Step2:

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

= 1 / 105

= 1

Step3:

LCM(1, 165) = 165

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

= 1 / 165

= 1

So, Greatest Common Divisor of 400, 949, 105, 165 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 467, 376, 150, 835
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• GCD of 968, 621, 675, 759

Given numbers are 400, 949, 105, 165
The greatest common divisor of numbers 400, 949, 105, 165 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 949, 105, 165 is 1.

1. What is the GCD of 400, 949, 105, 165?

GCD of given numbers 400, 949, 105, 165 is 1

2. How to calculate the greatest common divisor of 400, 949, 105, 165?

We can find the highest common divisor of 400, 949, 105, 165 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 400, 949, 105, 165 i.e 1.

3. How can I use the GCD of 400, 949, 105, 165Calculator?

Out the numbers 400, 949, 105, 165 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.