GCD of 760, 509, 369 Calculator

Given Input numbers are 760, 509, 369

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

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

GCD of numbers is the greatest common divisor

So, the GCD (760, 509, 369) = 1.

Given numbers are 760, 509, 369

The list of prime factors of all numbers are

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 509 are 509

Prime factors of 369 are 3 x 3 x 41

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

Given numbers are 760, 509, 369

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

Apply this formula for all numbers.

Step1:

LCM(760, 509) = 386840

GCD(760, 509) = ( 760 x 509 ) / 386840

= 760 / 509

= 760

Step2:

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

= 1 / 369

= 1

So, Greatest Common Divisor of 760, 509, 369 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 727, 404, 311
• GCD of 138, 630, 744
• GCD of 436, 771, 601
• GCD of 885, 862, 276
• GCD of 320, 255, 275

Given numbers are 760, 509, 369
The greatest common divisor of numbers 760, 509, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 509, 369 is 1.

1. What is the GCD of 760, 509, 369?

GCD of given numbers 760, 509, 369 is 1

2. How to calculate the greatest common divisor of 760, 509, 369?

We can find the highest common divisor of 760, 509, 369 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 760, 509, 369 i.e 1.

3. How can I use the GCD of 760, 509, 369Calculator?

Out the numbers 760, 509, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.