GCD of 423, 438, 921, 114 Calculator

Given Input numbers are 423, 438, 921, 114

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

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

Divisors of 438 :

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

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

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

GCD of numbers is the greatest common divisor

So, the GCD (423, 438, 921, 114) = 3.

Given numbers are 423, 438, 921, 114

The list of prime factors of all numbers are

Prime factors of 423 are 3 x 3 x 47

Prime factors of 438 are 2 x 3 x 73

Prime factors of 921 are 3 x 307

Prime factors of 114 are 2 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 423, 438, 921, 114 is 3.

Given numbers are 423, 438, 921, 114

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

Apply this formula for all numbers.

Step1:

LCM(423, 438) = 61758

GCD(423, 438) = ( 423 x 438 ) / 61758

= 423 / 438

= 423

Step2:

LCM(3, 921) = 921

GCD(3, 921) = ( 3 x 921 ) / 921

= 3 / 921

= 3

Step3:

LCM(3, 114) = 114

GCD(3, 114) = ( 3 x 114 ) / 114

= 3 / 114

= 3

So, Greatest Common Divisor of 423, 438, 921, 114 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 948, 945, 542, 758
• GCD of 452, 393, 529, 705
• GCD of 404, 659, 258, 433
• GCD of 264, 561, 206, 194
• GCD of 329, 770, 279, 892

Given numbers are 423, 438, 921, 114
The greatest common divisor of numbers 423, 438, 921, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 423, 438, 921, 114 is 3.

1. What is the GCD of 423, 438, 921, 114?

GCD of given numbers 423, 438, 921, 114 is 3

2. How to calculate the greatest common divisor of 423, 438, 921, 114?

We can find the highest common divisor of 423, 438, 921, 114 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 423, 438, 921, 114 i.e 3.

3. How can I use the GCD of 423, 438, 921, 114Calculator?

Out the numbers 423, 438, 921, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.