GCD of 509, 296, 788, 940 Calculator

Given Input numbers are 509, 296, 788, 940

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

Divisors of 509 :

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

1, 509

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

GCD of numbers is the greatest common divisor

So, the GCD (509, 296, 788, 940) = 1.

Given numbers are 509, 296, 788, 940

The list of prime factors of all numbers are

Prime factors of 509 are 509

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 788 are 2 x 2 x 197

Prime factors of 940 are 2 x 2 x 5 x 47

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

Given numbers are 509, 296, 788, 940

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

Apply this formula for all numbers.

Step1:

LCM(509, 296) = 150664

GCD(509, 296) = ( 509 x 296 ) / 150664

= 509 / 296

= 509

Step2:

LCM(1, 788) = 788

GCD(1, 788) = ( 1 x 788 ) / 788

= 1 / 788

= 1

Step3:

LCM(1, 940) = 940

GCD(1, 940) = ( 1 x 940 ) / 940

= 1 / 940

= 1

So, Greatest Common Divisor of 509, 296, 788, 940 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 633, 940, 821, 918
• GCD of 264, 979, 742, 165
• GCD of 797, 259, 475, 866
• GCD of 409, 335, 634, 952
• GCD of 885, 576, 892, 402

Given numbers are 509, 296, 788, 940
The greatest common divisor of numbers 509, 296, 788, 940 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 296, 788, 940 is 1.

1. What is the GCD of 509, 296, 788, 940?

GCD of given numbers 509, 296, 788, 940 is 1

2. How to calculate the greatest common divisor of 509, 296, 788, 940?

We can find the highest common divisor of 509, 296, 788, 940 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 509, 296, 788, 940 i.e 1.

3. How can I use the GCD of 509, 296, 788, 940Calculator?

Out the numbers 509, 296, 788, 940 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.