GCD of 123, 914, 438, 676 Calculator

Given Input numbers are 123, 914, 438, 676

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

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 438 :

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

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

GCD of numbers is the greatest common divisor

So, the GCD (123, 914, 438, 676) = 1.

Given numbers are 123, 914, 438, 676

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 914 are 2 x 457

Prime factors of 438 are 2 x 3 x 73

Prime factors of 676 are 2 x 2 x 13 x 13

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

Given numbers are 123, 914, 438, 676

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

Apply this formula for all numbers.

Step1:

LCM(123, 914) = 112422

GCD(123, 914) = ( 123 x 914 ) / 112422

= 123 / 914

= 123

Step2:

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

= 1 / 438

= 1

Step3:

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

= 1 / 676

= 1

So, Greatest Common Divisor of 123, 914, 438, 676 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 340, 500, 224, 642
• GCD of 523, 144, 780, 287
• GCD of 941, 719, 530, 382
• GCD of 330, 449, 817, 255
• GCD of 118, 657, 957, 561

Given numbers are 123, 914, 438, 676
The greatest common divisor of numbers 123, 914, 438, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 914, 438, 676 is 1.

1. What is the GCD of 123, 914, 438, 676?

GCD of given numbers 123, 914, 438, 676 is 1

2. How to calculate the greatest common divisor of 123, 914, 438, 676?

We can find the highest common divisor of 123, 914, 438, 676 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 123, 914, 438, 676 i.e 1.

3. How can I use the GCD of 123, 914, 438, 676Calculator?

Out the numbers 123, 914, 438, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.