GCD of 364, 292, 120, 442 Calculator

Given Input numbers are 364, 292, 120, 442

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 292 :

The positive integer divisors of 292 that completely divides 292 are.

1, 2, 4, 73, 146, 292

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 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

GCD of numbers is the greatest common divisor

So, the GCD (364, 292, 120, 442) = 2.

Given numbers are 364, 292, 120, 442

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 292 are 2 x 2 x 73

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

Prime factors of 442 are 2 x 13 x 17

The highest common occurrence is 2¹

Therefore, GCD of 364, 292, 120, 442 is 2.

Given numbers are 364, 292, 120, 442

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

Apply this formula for all numbers.

Step1:

LCM(364, 292) = 26572

GCD(364, 292) = ( 364 x 292 ) / 26572

= 364 / 292

= 364

Step2:

LCM(4, 120) = 120

GCD(4, 120) = ( 4 x 120 ) / 120

= 4 / 120

= 4

Step3:

LCM(4, 442) = 884

GCD(4, 442) = ( 4 x 442 ) / 884

= 4 / 442

= 4

So, Greatest Common Divisor of 364, 292, 120, 442 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 749, 950, 730, 645
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• GCD of 192, 471, 697, 365

Given numbers are 364, 292, 120, 442
The greatest common divisor of numbers 364, 292, 120, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 292, 120, 442 is 2.

1. What is the GCD of 364, 292, 120, 442?

GCD of given numbers 364, 292, 120, 442 is 2

2. How to calculate the greatest common divisor of 364, 292, 120, 442?

We can find the highest common divisor of 364, 292, 120, 442 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 364, 292, 120, 442 i.e 2.

3. How can I use the GCD of 364, 292, 120, 442Calculator?

Out the numbers 364, 292, 120, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.