GCD of 820, 978, 180, 252 Calculator

Given Input numbers are 820, 978, 180, 252

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

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

Divisors of 978 :

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

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

GCD of numbers is the greatest common divisor

So, the GCD (820, 978, 180, 252) = 2.

Given numbers are 820, 978, 180, 252

The list of prime factors of all numbers are

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

Prime factors of 978 are 2 x 3 x 163

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 820, 978, 180, 252 is 2.

Given numbers are 820, 978, 180, 252

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

Apply this formula for all numbers.

Step1:

LCM(820, 978) = 400980

GCD(820, 978) = ( 820 x 978 ) / 400980

= 820 / 978

= 820

Step2:

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

= 2 / 180

= 2

Step3:

LCM(2, 252) = 252

GCD(2, 252) = ( 2 x 252 ) / 252

= 2 / 252

= 2

So, Greatest Common Divisor of 820, 978, 180, 252 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 888, 778, 724, 771
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Given numbers are 820, 978, 180, 252
The greatest common divisor of numbers 820, 978, 180, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 978, 180, 252 is 2.

1. What is the GCD of 820, 978, 180, 252?

GCD of given numbers 820, 978, 180, 252 is 2

2. How to calculate the greatest common divisor of 820, 978, 180, 252?

We can find the highest common divisor of 820, 978, 180, 252 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 820, 978, 180, 252 i.e 2.

3. How can I use the GCD of 820, 978, 180, 252Calculator?

Out the numbers 820, 978, 180, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.