GCD of 362, 444, 978, 952 Calculator

Given Input numbers are 362, 444, 978, 952

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

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 978 :

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

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

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

GCD of numbers is the greatest common divisor

So, the GCD (362, 444, 978, 952) = 2.

Given numbers are 362, 444, 978, 952

The list of prime factors of all numbers are

Prime factors of 362 are 2 x 181

Prime factors of 444 are 2 x 2 x 3 x 37

Prime factors of 978 are 2 x 3 x 163

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 362, 444, 978, 952 is 2.

Given numbers are 362, 444, 978, 952

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

Apply this formula for all numbers.

Step1:

LCM(362, 444) = 80364

GCD(362, 444) = ( 362 x 444 ) / 80364

= 362 / 444

= 362

Step2:

LCM(2, 978) = 978

GCD(2, 978) = ( 2 x 978 ) / 978

= 2 / 978

= 2

Step3:

LCM(2, 952) = 952

GCD(2, 952) = ( 2 x 952 ) / 952

= 2 / 952

= 2

So, Greatest Common Divisor of 362, 444, 978, 952 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 932, 202, 984, 338
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Given numbers are 362, 444, 978, 952
The greatest common divisor of numbers 362, 444, 978, 952 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 444, 978, 952 is 2.

1. What is the GCD of 362, 444, 978, 952?

GCD of given numbers 362, 444, 978, 952 is 2

2. How to calculate the greatest common divisor of 362, 444, 978, 952?

We can find the highest common divisor of 362, 444, 978, 952 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 362, 444, 978, 952 i.e 2.

3. How can I use the GCD of 362, 444, 978, 952Calculator?

Out the numbers 362, 444, 978, 952 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.