GCD of 929, 120, 764, 289 Calculator

Given Input numbers are 929, 120, 764, 289

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

Divisors of 929 :

The positive integer divisors of 929 that completely divides 929 are.

1, 929

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

GCD of numbers is the greatest common divisor

So, the GCD (929, 120, 764, 289) = 1.

Given numbers are 929, 120, 764, 289

The list of prime factors of all numbers are

Prime factors of 929 are 929

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 764 are 2 x 2 x 191

Prime factors of 289 are 17 x 17

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

Given numbers are 929, 120, 764, 289

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

Apply this formula for all numbers.

Step1:

LCM(929, 120) = 111480

GCD(929, 120) = ( 929 x 120 ) / 111480

= 929 / 120

= 929

Step2:

LCM(1, 764) = 764

GCD(1, 764) = ( 1 x 764 ) / 764

= 1 / 764

= 1

Step3:

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

= 1 / 289

= 1

So, Greatest Common Divisor of 929, 120, 764, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 398, 220, 349, 749
• GCD of 255, 975, 295, 278
• GCD of 163, 245, 575, 535
• GCD of 842, 360, 832, 346
• GCD of 249, 884, 536, 363

Given numbers are 929, 120, 764, 289
The greatest common divisor of numbers 929, 120, 764, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 929, 120, 764, 289 is 1.

1. What is the GCD of 929, 120, 764, 289?

GCD of given numbers 929, 120, 764, 289 is 1

2. How to calculate the greatest common divisor of 929, 120, 764, 289?

We can find the highest common divisor of 929, 120, 764, 289 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 929, 120, 764, 289 i.e 1.

3. How can I use the GCD of 929, 120, 764, 289Calculator?

Out the numbers 929, 120, 764, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.