GCD of 969, 438, 714, 427 Calculator

Given Input numbers are 969, 438, 714, 427

In the factoring method, we have to find the divisors of all numbers

Divisors of 969 :

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

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

GCD of numbers is the greatest common divisor

So, the GCD (969, 438, 714, 427) = 1.

Given numbers are 969, 438, 714, 427

The list of prime factors of all numbers are

Prime factors of 969 are 3 x 17 x 19

Prime factors of 438 are 2 x 3 x 73

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 427 are 7 x 61

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

Given numbers are 969, 438, 714, 427

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

Apply this formula for all numbers.

Step1:

LCM(969, 438) = 141474

GCD(969, 438) = ( 969 x 438 ) / 141474

= 969 / 438

= 969

Step2:

LCM(3, 714) = 714

GCD(3, 714) = ( 3 x 714 ) / 714

= 3 / 714

= 3

Step3:

LCM(3, 427) = 1281

GCD(3, 427) = ( 3 x 427 ) / 1281

= 3 / 427

= 3

So, Greatest Common Divisor of 969, 438, 714, 427 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 421, 393, 283, 280
• GCD of 836, 516, 240, 713
• GCD of 303, 291, 557, 303
• GCD of 321, 335, 879, 143
• GCD of 729, 789, 162, 906

Given numbers are 969, 438, 714, 427
The greatest common divisor of numbers 969, 438, 714, 427 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 438, 714, 427 is 1.

1. What is the GCD of 969, 438, 714, 427?

GCD of given numbers 969, 438, 714, 427 is 1

2. How to calculate the greatest common divisor of 969, 438, 714, 427?

We can find the highest common divisor of 969, 438, 714, 427 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 969, 438, 714, 427 i.e 1.

3. How can I use the GCD of 969, 438, 714, 427Calculator?

Out the numbers 969, 438, 714, 427 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.