GCD of 428, 969, 994, 731 Calculator

Given Input numbers are 428, 969, 994, 731

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 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

GCD of numbers is the greatest common divisor

So, the GCD (428, 969, 994, 731) = 1.

Given numbers are 428, 969, 994, 731

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 969 are 3 x 17 x 19

Prime factors of 994 are 2 x 7 x 71

Prime factors of 731 are 17 x 43

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

Given numbers are 428, 969, 994, 731

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

Apply this formula for all numbers.

Step1:

LCM(428, 969) = 414732

GCD(428, 969) = ( 428 x 969 ) / 414732

= 428 / 969

= 428

Step2:

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

= 1 / 994

= 1

Step3:

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

= 1 / 731

= 1

So, Greatest Common Divisor of 428, 969, 994, 731 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 400, 264, 696, 568
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• GCD of 444, 385, 411, 128

Given numbers are 428, 969, 994, 731
The greatest common divisor of numbers 428, 969, 994, 731 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 969, 994, 731 is 1.

1. What is the GCD of 428, 969, 994, 731?

GCD of given numbers 428, 969, 994, 731 is 1

2. How to calculate the greatest common divisor of 428, 969, 994, 731?

We can find the highest common divisor of 428, 969, 994, 731 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, 969, 994, 731 i.e 1.

3. How can I use the GCD of 428, 969, 994, 731Calculator?

Out the numbers 428, 969, 994, 731 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.