GCD of 428, 614, 969, 289 Calculator

Given Input numbers are 428, 614, 969, 289

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 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 969 :

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

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

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

GCD of numbers is the greatest common divisor

So, the GCD (428, 614, 969, 289) = 1.

Given numbers are 428, 614, 969, 289

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 614 are 2 x 307

Prime factors of 969 are 3 x 17 x 19

Prime factors of 289 are 17 x 17

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

Given numbers are 428, 614, 969, 289

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

Apply this formula for all numbers.

Step1:

LCM(428, 614) = 131396

GCD(428, 614) = ( 428 x 614 ) / 131396

= 428 / 614

= 428

Step2:

LCM(2, 969) = 1938

GCD(2, 969) = ( 2 x 969 ) / 1938

= 2 / 969

= 2

Step3:

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

= 1 / 289

= 1

So, Greatest Common Divisor of 428, 614, 969, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 863, 454, 699, 297
• GCD of 284, 789, 314, 206
• GCD of 360, 926, 860, 754
• GCD of 674, 642, 534, 243
• GCD of 604, 466, 146, 103

Given numbers are 428, 614, 969, 289
The greatest common divisor of numbers 428, 614, 969, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 614, 969, 289 is 1.

1. What is the GCD of 428, 614, 969, 289?

GCD of given numbers 428, 614, 969, 289 is 1

2. How to calculate the greatest common divisor of 428, 614, 969, 289?

We can find the highest common divisor of 428, 614, 969, 289 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, 614, 969, 289 i.e 1.

3. How can I use the GCD of 428, 614, 969, 289Calculator?

Out the numbers 428, 614, 969, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.