GCD of 753, 428, 214, 159 Calculator

Given Input numbers are 753, 428, 214, 159

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 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

GCD of numbers is the greatest common divisor

So, the GCD (753, 428, 214, 159) = 1.

Given numbers are 753, 428, 214, 159

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 214 are 2 x 107

Prime factors of 159 are 3 x 53

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

Given numbers are 753, 428, 214, 159

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, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1

Step3:

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

= 1 / 159

= 1

So, Greatest Common Divisor of 753, 428, 214, 159 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 698, 886, 624, 783
• GCD of 217, 856, 728, 890
• GCD of 630, 201, 421, 520
• GCD of 478, 569, 869, 301
• GCD of 505, 923, 180, 396

Given numbers are 753, 428, 214, 159
The greatest common divisor of numbers 753, 428, 214, 159 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 753, 428, 214, 159 is 1.

1. What is the GCD of 753, 428, 214, 159?

GCD of given numbers 753, 428, 214, 159 is 1

2. How to calculate the greatest common divisor of 753, 428, 214, 159?

We can find the highest common divisor of 753, 428, 214, 159 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, 214, 159 i.e 1.

3. How can I use the GCD of 753, 428, 214, 159Calculator?

Out the numbers 753, 428, 214, 159 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.