GCD of 753, 428, 717, 838 Calculator

Given Input numbers are 753, 428, 717, 838

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

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 428 :

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

1, 2, 4, 107, 214, 428

Divisors of 717 :

The positive integer divisors of 717 that completely divides 717 are.

1, 3, 239, 717

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

GCD of numbers is the greatest common divisor

So, the GCD (753, 428, 717, 838) = 1.

Given numbers are 753, 428, 717, 838

The list of prime factors of all numbers are

Prime factors of 753 are 3 x 251

Prime factors of 428 are 2 x 2 x 107

Prime factors of 717 are 3 x 239

Prime factors of 838 are 2 x 419

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

Given numbers are 753, 428, 717, 838

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

Apply this formula for all numbers.

Step1:

LCM(753, 428) = 322284

GCD(753, 428) = ( 753 x 428 ) / 322284

= 753 / 428

= 753

Step2:

LCM(1, 717) = 717

GCD(1, 717) = ( 1 x 717 ) / 717

= 1 / 717

= 1

Step3:

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

= 1 / 838

= 1

So, Greatest Common Divisor of 753, 428, 717, 838 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 349, 579, 979, 803
• GCD of 850, 975, 645, 823
• GCD of 514, 328, 708, 689
• GCD of 315, 417, 847, 938
• GCD of 552, 168, 732, 262

Given numbers are 753, 428, 717, 838
The greatest common divisor of numbers 753, 428, 717, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 753, 428, 717, 838 is 1.

1. What is the GCD of 753, 428, 717, 838?

GCD of given numbers 753, 428, 717, 838 is 1

2. How to calculate the greatest common divisor of 753, 428, 717, 838?

We can find the highest common divisor of 753, 428, 717, 838 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 753, 428, 717, 838 i.e 1.

3. How can I use the GCD of 753, 428, 717, 838Calculator?

Out the numbers 753, 428, 717, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.