GCD of 364, 900, 524, 123 Calculator

Given Input numbers are 364, 900, 524, 123

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 123 :

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

1, 3, 41, 123

GCD of numbers is the greatest common divisor

So, the GCD (364, 900, 524, 123) = 1.

Given numbers are 364, 900, 524, 123

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 524 are 2 x 2 x 131

Prime factors of 123 are 3 x 41

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

Given numbers are 364, 900, 524, 123

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

Apply this formula for all numbers.

Step1:

LCM(364, 900) = 81900

GCD(364, 900) = ( 364 x 900 ) / 81900

= 364 / 900

= 364

Step2:

LCM(4, 524) = 524

GCD(4, 524) = ( 4 x 524 ) / 524

= 4 / 524

= 4

Step3:

LCM(4, 123) = 492

GCD(4, 123) = ( 4 x 123 ) / 492

= 4 / 123

= 4

So, Greatest Common Divisor of 364, 900, 524, 123 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 306, 491, 311, 505
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• GCD of 867, 765, 661, 333
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• GCD of 901, 557, 941, 654

Given numbers are 364, 900, 524, 123
The greatest common divisor of numbers 364, 900, 524, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 900, 524, 123 is 1.

1. What is the GCD of 364, 900, 524, 123?

GCD of given numbers 364, 900, 524, 123 is 1

2. How to calculate the greatest common divisor of 364, 900, 524, 123?

We can find the highest common divisor of 364, 900, 524, 123 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 364, 900, 524, 123 i.e 1.

3. How can I use the GCD of 364, 900, 524, 123Calculator?

Out the numbers 364, 900, 524, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.