GCD of 428, 269, 563, 743 Calculator

Given Input numbers are 428, 269, 563, 743

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 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

Divisors of 563 :

The positive integer divisors of 563 that completely divides 563 are.

1, 563

Divisors of 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

GCD of numbers is the greatest common divisor

So, the GCD (428, 269, 563, 743) = 1.

Given numbers are 428, 269, 563, 743

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 269 are 269

Prime factors of 563 are 563

Prime factors of 743 are 743

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

Given numbers are 428, 269, 563, 743

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

Apply this formula for all numbers.

Step1:

LCM(428, 269) = 115132

GCD(428, 269) = ( 428 x 269 ) / 115132

= 428 / 269

= 428

Step2:

LCM(1, 563) = 563

GCD(1, 563) = ( 1 x 563 ) / 563

= 1 / 563

= 1

Step3:

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

= 1 / 743

= 1

So, Greatest Common Divisor of 428, 269, 563, 743 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 276, 113, 736, 748
• GCD of 609, 708, 236, 206
• GCD of 700, 343, 296, 117
• GCD of 359, 200, 795, 375
• GCD of 715, 746, 939, 918

Given numbers are 428, 269, 563, 743
The greatest common divisor of numbers 428, 269, 563, 743 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 269, 563, 743 is 1.

1. What is the GCD of 428, 269, 563, 743?

GCD of given numbers 428, 269, 563, 743 is 1

2. How to calculate the greatest common divisor of 428, 269, 563, 743?

We can find the highest common divisor of 428, 269, 563, 743 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, 269, 563, 743 i.e 1.

3. How can I use the GCD of 428, 269, 563, 743Calculator?

Out the numbers 428, 269, 563, 743 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.