GCD of 117, 160, 524, 690 Calculator

Given Input numbers are 117, 160, 524, 690

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

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

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

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

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

GCD of numbers is the greatest common divisor

So, the GCD (117, 160, 524, 690) = 1.

Given numbers are 117, 160, 524, 690

The list of prime factors of all numbers are

Prime factors of 117 are 3 x 3 x 13

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

Prime factors of 524 are 2 x 2 x 131

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

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

Given numbers are 117, 160, 524, 690

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

Apply this formula for all numbers.

Step1:

LCM(117, 160) = 18720

GCD(117, 160) = ( 117 x 160 ) / 18720

= 117 / 160

= 117

Step2:

LCM(1, 524) = 524

GCD(1, 524) = ( 1 x 524 ) / 524

= 1 / 524

= 1

Step3:

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

= 1 / 690

= 1

So, Greatest Common Divisor of 117, 160, 524, 690 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 563, 287, 177, 322
• GCD of 406, 824, 959, 487
• GCD of 927, 512, 976, 120
• GCD of 862, 708, 205, 665
• GCD of 423, 223, 978, 694

Given numbers are 117, 160, 524, 690
The greatest common divisor of numbers 117, 160, 524, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 160, 524, 690 is 1.

1. What is the GCD of 117, 160, 524, 690?

GCD of given numbers 117, 160, 524, 690 is 1

2. How to calculate the greatest common divisor of 117, 160, 524, 690?

We can find the highest common divisor of 117, 160, 524, 690 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 117, 160, 524, 690 i.e 1.

3. How can I use the GCD of 117, 160, 524, 690Calculator?

Out the numbers 117, 160, 524, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.