GCD of 165, 690, 175, 960 Calculator

Given Input numbers are 165, 690, 175, 960

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

Divisors of 165 :

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

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

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (165, 690, 175, 960) = 5.

Given numbers are 165, 690, 175, 960

The list of prime factors of all numbers are

Prime factors of 165 are 3 x 5 x 11

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 175 are 5 x 5 x 7

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 5¹

Therefore, GCD of 165, 690, 175, 960 is 5.

Given numbers are 165, 690, 175, 960

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

Apply this formula for all numbers.

Step1:

LCM(165, 690) = 7590

GCD(165, 690) = ( 165 x 690 ) / 7590

= 165 / 690

= 165

Step2:

LCM(15, 175) = 525

GCD(15, 175) = ( 15 x 175 ) / 525

= 15 / 175

= 15

Step3:

LCM(5, 960) = 960

GCD(5, 960) = ( 5 x 960 ) / 960

= 5 / 960

= 5

So, Greatest Common Divisor of 165, 690, 175, 960 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 482, 117, 664, 396
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• GCD of 713, 648, 830, 214

Given numbers are 165, 690, 175, 960
The greatest common divisor of numbers 165, 690, 175, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 690, 175, 960 is 5.

1. What is the GCD of 165, 690, 175, 960?

GCD of given numbers 165, 690, 175, 960 is 5

2. How to calculate the greatest common divisor of 165, 690, 175, 960?

We can find the highest common divisor of 165, 690, 175, 960 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 165, 690, 175, 960 i.e 5.

3. How can I use the GCD of 165, 690, 175, 960Calculator?

Out the numbers 165, 690, 175, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.