GCD of 435, 249, 969, 384 Calculator

Given Input numbers are 435, 249, 969, 384

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

Divisors of 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

Divisors of 969 :

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

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

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

GCD of numbers is the greatest common divisor

So, the GCD (435, 249, 969, 384) = 3.

Given numbers are 435, 249, 969, 384

The list of prime factors of all numbers are

Prime factors of 435 are 3 x 5 x 29

Prime factors of 249 are 3 x 83

Prime factors of 969 are 3 x 17 x 19

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 3¹

Therefore, GCD of 435, 249, 969, 384 is 3.

Given numbers are 435, 249, 969, 384

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

Apply this formula for all numbers.

Step1:

LCM(435, 249) = 36105

GCD(435, 249) = ( 435 x 249 ) / 36105

= 435 / 249

= 435

Step2:

LCM(3, 969) = 969

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

= 3 / 969

= 3

Step3:

LCM(3, 384) = 384

GCD(3, 384) = ( 3 x 384 ) / 384

= 3 / 384

= 3

So, Greatest Common Divisor of 435, 249, 969, 384 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 410, 297, 798, 268
• GCD of 558, 807, 355, 363
• GCD of 105, 511, 764, 444
• GCD of 320, 520, 311, 466
• GCD of 499, 977, 650, 971

Given numbers are 435, 249, 969, 384
The greatest common divisor of numbers 435, 249, 969, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 435, 249, 969, 384 is 3.

1. What is the GCD of 435, 249, 969, 384?

GCD of given numbers 435, 249, 969, 384 is 3

2. How to calculate the greatest common divisor of 435, 249, 969, 384?

We can find the highest common divisor of 435, 249, 969, 384 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 435, 249, 969, 384 i.e 3.

3. How can I use the GCD of 435, 249, 969, 384Calculator?

Out the numbers 435, 249, 969, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.