GCD of 509, 269, 437, 138 Calculator

Given Input numbers are 509, 269, 437, 138

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 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

Divisors of 437 :

The positive integer divisors of 437 that completely divides 437 are.

1, 19, 23, 437

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

GCD of numbers is the greatest common divisor

So, the GCD (509, 269, 437, 138) = 1.

Given numbers are 509, 269, 437, 138

The list of prime factors of all numbers are

Prime factors of 509 are 509

Prime factors of 269 are 269

Prime factors of 437 are 19 x 23

Prime factors of 138 are 2 x 3 x 23

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

Given numbers are 509, 269, 437, 138

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

Apply this formula for all numbers.

Step1:

LCM(509, 269) = 136921

GCD(509, 269) = ( 509 x 269 ) / 136921

= 509 / 269

= 509

Step2:

LCM(1, 437) = 437

GCD(1, 437) = ( 1 x 437 ) / 437

= 1 / 437

= 1

Step3:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1

So, Greatest Common Divisor of 509, 269, 437, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 827, 645, 423, 167
• GCD of 916, 774, 741, 203
• GCD of 130, 611, 435, 473
• GCD of 620, 300, 204, 847
• GCD of 444, 360, 880, 574

Given numbers are 509, 269, 437, 138
The greatest common divisor of numbers 509, 269, 437, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 269, 437, 138 is 1.

1. What is the GCD of 509, 269, 437, 138?

GCD of given numbers 509, 269, 437, 138 is 1

2. How to calculate the greatest common divisor of 509, 269, 437, 138?

We can find the highest common divisor of 509, 269, 437, 138 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, 269, 437, 138 i.e 1.

3. How can I use the GCD of 509, 269, 437, 138Calculator?

Out the numbers 509, 269, 437, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.