GCD of 900, 978, 523, 169 Calculator

Given Input numbers are 900, 978, 523, 169

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

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 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

GCD of numbers is the greatest common divisor

So, the GCD (900, 978, 523, 169) = 1.

Given numbers are 900, 978, 523, 169

The list of prime factors of all numbers are

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

Prime factors of 978 are 2 x 3 x 163

Prime factors of 523 are 523

Prime factors of 169 are 13 x 13

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

Given numbers are 900, 978, 523, 169

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

Apply this formula for all numbers.

Step1:

LCM(900, 978) = 146700

GCD(900, 978) = ( 900 x 978 ) / 146700

= 900 / 978

= 900

Step2:

LCM(6, 523) = 3138

GCD(6, 523) = ( 6 x 523 ) / 3138

= 6 / 523

= 6

Step3:

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

= 1 / 169

= 1

So, Greatest Common Divisor of 900, 978, 523, 169 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 120, 258, 881, 138
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Given numbers are 900, 978, 523, 169
The greatest common divisor of numbers 900, 978, 523, 169 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 978, 523, 169 is 1.

1. What is the GCD of 900, 978, 523, 169?

GCD of given numbers 900, 978, 523, 169 is 1

2. How to calculate the greatest common divisor of 900, 978, 523, 169?

We can find the highest common divisor of 900, 978, 523, 169 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 900, 978, 523, 169 i.e 1.

3. How can I use the GCD of 900, 978, 523, 169Calculator?

Out the numbers 900, 978, 523, 169 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.