GCD of 978, 120, 531, 900 Calculator

Given Input numbers are 978, 120, 531, 900

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

Divisors of 978 :

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

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 531 :

The positive integer divisors of 531 that completely divides 531 are.

1, 3, 9, 59, 177, 531

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

GCD of numbers is the greatest common divisor

So, the GCD (978, 120, 531, 900) = 3.

Given numbers are 978, 120, 531, 900

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 531 are 3 x 3 x 59

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

The highest common occurrence is 3¹

Therefore, GCD of 978, 120, 531, 900 is 3.

Given numbers are 978, 120, 531, 900

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

Apply this formula for all numbers.

Step1:

LCM(978, 120) = 19560

GCD(978, 120) = ( 978 x 120 ) / 19560

= 978 / 120

= 978

Step2:

LCM(6, 531) = 1062

GCD(6, 531) = ( 6 x 531 ) / 1062

= 6 / 531

= 6

Step3:

LCM(3, 900) = 900

GCD(3, 900) = ( 3 x 900 ) / 900

= 3 / 900

= 3

So, Greatest Common Divisor of 978, 120, 531, 900 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 366, 563, 215, 337
• GCD of 232, 812, 235, 556
• GCD of 911, 255, 679, 855
• GCD of 982, 714, 363, 391
• GCD of 264, 414, 872, 660

Given numbers are 978, 120, 531, 900
The greatest common divisor of numbers 978, 120, 531, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 120, 531, 900 is 3.

1. What is the GCD of 978, 120, 531, 900?

GCD of given numbers 978, 120, 531, 900 is 3

2. How to calculate the greatest common divisor of 978, 120, 531, 900?

We can find the highest common divisor of 978, 120, 531, 900 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 978, 120, 531, 900 i.e 3.

3. How can I use the GCD of 978, 120, 531, 900Calculator?

Out the numbers 978, 120, 531, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.