GCD of 428, 343, 292, 463 Calculator

Given Input numbers are 428, 343, 292, 463

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 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 292 :

The positive integer divisors of 292 that completely divides 292 are.

1, 2, 4, 73, 146, 292

Divisors of 463 :

The positive integer divisors of 463 that completely divides 463 are.

1, 463

GCD of numbers is the greatest common divisor

So, the GCD (428, 343, 292, 463) = 1.

Given numbers are 428, 343, 292, 463

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 343 are 7 x 7 x 7

Prime factors of 292 are 2 x 2 x 73

Prime factors of 463 are 463

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

Given numbers are 428, 343, 292, 463

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

Apply this formula for all numbers.

Step1:

LCM(428, 343) = 146804

GCD(428, 343) = ( 428 x 343 ) / 146804

= 428 / 343

= 428

Step2:

LCM(1, 292) = 292

GCD(1, 292) = ( 1 x 292 ) / 292

= 1 / 292

= 1

Step3:

LCM(1, 463) = 463

GCD(1, 463) = ( 1 x 463 ) / 463

= 1 / 463

= 1

So, Greatest Common Divisor of 428, 343, 292, 463 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 975, 518, 593, 332
• GCD of 176, 469, 428, 480
• GCD of 727, 774, 492, 344
• GCD of 514, 784, 622, 962
• GCD of 466, 879, 781, 939

Given numbers are 428, 343, 292, 463
The greatest common divisor of numbers 428, 343, 292, 463 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 343, 292, 463 is 1.

1. What is the GCD of 428, 343, 292, 463?

GCD of given numbers 428, 343, 292, 463 is 1

2. How to calculate the greatest common divisor of 428, 343, 292, 463?

We can find the highest common divisor of 428, 343, 292, 463 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, 343, 292, 463 i.e 1.

3. How can I use the GCD of 428, 343, 292, 463Calculator?

Out the numbers 428, 343, 292, 463 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.