GCD of 852, 978, 484, 402 Calculator

Given Input numbers are 852, 978, 484, 402

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

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 978 :

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

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

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

GCD of numbers is the greatest common divisor

So, the GCD (852, 978, 484, 402) = 2.

Given numbers are 852, 978, 484, 402

The list of prime factors of all numbers are

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 978 are 2 x 3 x 163

Prime factors of 484 are 2 x 2 x 11 x 11

Prime factors of 402 are 2 x 3 x 67

The highest common occurrence is 2¹

Therefore, GCD of 852, 978, 484, 402 is 2.

Given numbers are 852, 978, 484, 402

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

Apply this formula for all numbers.

Step1:

LCM(852, 978) = 138876

GCD(852, 978) = ( 852 x 978 ) / 138876

= 852 / 978

= 852

Step2:

LCM(6, 484) = 1452

GCD(6, 484) = ( 6 x 484 ) / 1452

= 6 / 484

= 6

Step3:

LCM(2, 402) = 402

GCD(2, 402) = ( 2 x 402 ) / 402

= 2 / 402

= 2

So, Greatest Common Divisor of 852, 978, 484, 402 is 2

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Given numbers are 852, 978, 484, 402
The greatest common divisor of numbers 852, 978, 484, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 978, 484, 402 is 2.

1. What is the GCD of 852, 978, 484, 402?

GCD of given numbers 852, 978, 484, 402 is 2

2. How to calculate the greatest common divisor of 852, 978, 484, 402?

We can find the highest common divisor of 852, 978, 484, 402 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 852, 978, 484, 402 i.e 2.

3. How can I use the GCD of 852, 978, 484, 402Calculator?

Out the numbers 852, 978, 484, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.