GCD of 753, 420, 879, 428 Calculator

Given Input numbers are 753, 420, 879, 428

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 879 :

The positive integer divisors of 879 that completely divides 879 are.

1, 3, 293, 879

Divisors of 428 :

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

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (753, 420, 879, 428) = 1.

Given numbers are 753, 420, 879, 428

The list of prime factors of all numbers are

Prime factors of 753 are 3 x 251

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 879 are 3 x 293

Prime factors of 428 are 2 x 2 x 107

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

Given numbers are 753, 420, 879, 428

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

Apply this formula for all numbers.

Step1:

LCM(753, 420) = 105420

GCD(753, 420) = ( 753 x 420 ) / 105420

= 753 / 420

= 753

Step2:

LCM(3, 879) = 879

GCD(3, 879) = ( 3 x 879 ) / 879

= 3 / 879

= 3

Step3:

LCM(3, 428) = 1284

GCD(3, 428) = ( 3 x 428 ) / 1284

= 3 / 428

= 3

So, Greatest Common Divisor of 753, 420, 879, 428 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 355, 105, 986, 139
• GCD of 667, 294, 628, 836
• GCD of 748, 409, 592, 979
• GCD of 822, 134, 375, 376
• GCD of 389, 783, 835, 860

Given numbers are 753, 420, 879, 428
The greatest common divisor of numbers 753, 420, 879, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 753, 420, 879, 428 is 1.

1. What is the GCD of 753, 420, 879, 428?

GCD of given numbers 753, 420, 879, 428 is 1

2. How to calculate the greatest common divisor of 753, 420, 879, 428?

We can find the highest common divisor of 753, 420, 879, 428 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, 420, 879, 428 i.e 1.

3. How can I use the GCD of 753, 420, 879, 428Calculator?

Out the numbers 753, 420, 879, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.