GCD of 428, 657, 509, 755 Calculator

Given Input numbers are 428, 657, 509, 755

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 657 :

The positive integer divisors of 657 that completely divides 657 are.

1, 3, 9, 73, 219, 657

Divisors of 509 :

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

1, 509

Divisors of 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

GCD of numbers is the greatest common divisor

So, the GCD (428, 657, 509, 755) = 1.

Given numbers are 428, 657, 509, 755

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 657 are 3 x 3 x 73

Prime factors of 509 are 509

Prime factors of 755 are 5 x 151

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

Given numbers are 428, 657, 509, 755

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

Apply this formula for all numbers.

Step1:

LCM(428, 657) = 281196

GCD(428, 657) = ( 428 x 657 ) / 281196

= 428 / 657

= 428

Step2:

LCM(1, 509) = 509

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

= 1 / 509

= 1

Step3:

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

= 1 / 755

= 1

So, Greatest Common Divisor of 428, 657, 509, 755 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 160, 327, 813, 251
• GCD of 471, 706, 300, 858
• GCD of 200, 954, 664, 670
• GCD of 101, 241, 941, 980
• GCD of 541, 227, 433, 499

Given numbers are 428, 657, 509, 755
The greatest common divisor of numbers 428, 657, 509, 755 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 657, 509, 755 is 1.

1. What is the GCD of 428, 657, 509, 755?

GCD of given numbers 428, 657, 509, 755 is 1

2. How to calculate the greatest common divisor of 428, 657, 509, 755?

We can find the highest common divisor of 428, 657, 509, 755 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, 657, 509, 755 i.e 1.

3. How can I use the GCD of 428, 657, 509, 755Calculator?

Out the numbers 428, 657, 509, 755 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.