GCD of 438, 357, 969 Calculator

Given Input numbers are 438, 357, 969

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

Divisors of 438 :

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

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

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 969 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (438, 357, 969) = 3.

Given numbers are 438, 357, 969

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 357 are 3 x 7 x 17

Prime factors of 969 are 3 x 17 x 19

The highest common occurrence is 3¹

Therefore, GCD of 438, 357, 969 is 3.

Given numbers are 438, 357, 969

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

Apply this formula for all numbers.

Step1:

LCM(438, 357) = 52122

GCD(438, 357) = ( 438 x 357 ) / 52122

= 438 / 357

= 438

Step2:

LCM(3, 969) = 969

GCD(3, 969) = ( 3 x 969 ) / 969

= 3 / 969

= 3

So, Greatest Common Divisor of 438, 357, 969 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 567, 404, 383
• GCD of 171, 969, 924
• GCD of 825, 552, 877
• GCD of 562, 707, 303
• GCD of 731, 776, 306

Given numbers are 438, 357, 969
The greatest common divisor of numbers 438, 357, 969 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 357, 969 is 3.

1. What is the GCD of 438, 357, 969?

GCD of given numbers 438, 357, 969 is 3

2. How to calculate the greatest common divisor of 438, 357, 969?

We can find the highest common divisor of 438, 357, 969 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 438, 357, 969 i.e 3.

3. How can I use the GCD of 438, 357, 969Calculator?

Out the numbers 438, 357, 969 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.