GCD of 208, 975, 165, 160 Calculator

Given Input numbers are 208, 975, 165, 160

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 165 :

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

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

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

GCD of numbers is the greatest common divisor

So, the GCD (208, 975, 165, 160) = 1.

Given numbers are 208, 975, 165, 160

The list of prime factors of all numbers are

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 165 are 3 x 5 x 11

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

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

Given numbers are 208, 975, 165, 160

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

Apply this formula for all numbers.

Step1:

LCM(208, 975) = 15600

GCD(208, 975) = ( 208 x 975 ) / 15600

= 208 / 975

= 208

Step2:

LCM(13, 165) = 2145

GCD(13, 165) = ( 13 x 165 ) / 2145

= 13 / 165

= 13

Step3:

LCM(1, 160) = 160

GCD(1, 160) = ( 1 x 160 ) / 160

= 1 / 160

= 1

So, Greatest Common Divisor of 208, 975, 165, 160 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 851, 248, 432, 116
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• GCD of 444, 172, 928, 875
• GCD of 505, 555, 966, 517

Given numbers are 208, 975, 165, 160
The greatest common divisor of numbers 208, 975, 165, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 975, 165, 160 is 1.

1. What is the GCD of 208, 975, 165, 160?

GCD of given numbers 208, 975, 165, 160 is 1

2. How to calculate the greatest common divisor of 208, 975, 165, 160?

We can find the highest common divisor of 208, 975, 165, 160 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 208, 975, 165, 160 i.e 1.

3. How can I use the GCD of 208, 975, 165, 160Calculator?

Out the numbers 208, 975, 165, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.