GCD of 428, 749, 805, 509 Calculator

Given Input numbers are 428, 749, 805, 509

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 805 :

The positive integer divisors of 805 that completely divides 805 are.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 509 :

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

1, 509

GCD of numbers is the greatest common divisor

So, the GCD (428, 749, 805, 509) = 1.

Given numbers are 428, 749, 805, 509

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 749 are 7 x 107

Prime factors of 805 are 5 x 7 x 23

Prime factors of 509 are 509

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

Given numbers are 428, 749, 805, 509

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

Apply this formula for all numbers.

Step1:

LCM(428, 749) = 2996

GCD(428, 749) = ( 428 x 749 ) / 2996

= 428 / 749

= 428

Step2:

LCM(107, 805) = 86135

GCD(107, 805) = ( 107 x 805 ) / 86135

= 107 / 805

= 107

Step3:

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

= 1 / 509

= 1

So, Greatest Common Divisor of 428, 749, 805, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 164, 352, 418, 622
• GCD of 237, 157, 512, 236
• GCD of 815, 479, 334, 821
• GCD of 800, 508, 681, 783
• GCD of 446, 755, 849, 664

Given numbers are 428, 749, 805, 509
The greatest common divisor of numbers 428, 749, 805, 509 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 749, 805, 509 is 1.

1. What is the GCD of 428, 749, 805, 509?

GCD of given numbers 428, 749, 805, 509 is 1

2. How to calculate the greatest common divisor of 428, 749, 805, 509?

We can find the highest common divisor of 428, 749, 805, 509 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 428, 749, 805, 509 i.e 1.

3. How can I use the GCD of 428, 749, 805, 509Calculator?

Out the numbers 428, 749, 805, 509 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.