GCD of 978, 900, 24, 820 Calculator

Given Input numbers are 978, 900, 24, 820

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 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 24 :

The positive integer divisors of 24 that completely divides 24 are.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

GCD of numbers is the greatest common divisor

So, the GCD (978, 900, 24, 820) = 2.

Given numbers are 978, 900, 24, 820

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

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

Prime factors of 24 are 2 x 2 x 2 x 3

Prime factors of 820 are 2 x 2 x 5 x 41

The highest common occurrence is 2¹

Therefore, GCD of 978, 900, 24, 820 is 2.

Given numbers are 978, 900, 24, 820

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

Apply this formula for all numbers.

Step1:

LCM(978, 900) = 146700

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

= 978 / 900

= 978

Step2:

LCM(6, 24) = 24

GCD(6, 24) = ( 6 x 24 ) / 24

= 6 / 24

= 6

Step3:

LCM(6, 820) = 2460

GCD(6, 820) = ( 6 x 820 ) / 2460

= 6 / 820

= 6

So, Greatest Common Divisor of 978, 900, 24, 820 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 904, 497, 43, 788
• GCD of 444, 368, 49, 637
• GCD of 622, 725, 55, 984
• GCD of 637, 178, 25, 637
• GCD of 148, 356, 74, 447

Given numbers are 978, 900, 24, 820
The greatest common divisor of numbers 978, 900, 24, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 900, 24, 820 is 2.

1. What is the GCD of 978, 900, 24, 820?

GCD of given numbers 978, 900, 24, 820 is 2

2. How to calculate the greatest common divisor of 978, 900, 24, 820?

We can find the highest common divisor of 978, 900, 24, 820 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, 900, 24, 820 i.e 2.

3. How can I use the GCD of 978, 900, 24, 820Calculator?

Out the numbers 978, 900, 24, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.