GCD of 362, 292, 740, 422 Calculator

Given Input numbers are 362, 292, 740, 422

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 292 :

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

1, 2, 4, 73, 146, 292

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

GCD of numbers is the greatest common divisor

So, the GCD (362, 292, 740, 422) = 2.

Given numbers are 362, 292, 740, 422

The list of prime factors of all numbers are

Prime factors of 362 are 2 x 181

Prime factors of 292 are 2 x 2 x 73

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 422 are 2 x 211

The highest common occurrence is 2¹

Therefore, GCD of 362, 292, 740, 422 is 2.

Given numbers are 362, 292, 740, 422

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

Apply this formula for all numbers.

Step1:

LCM(362, 292) = 52852

GCD(362, 292) = ( 362 x 292 ) / 52852

= 362 / 292

= 362

Step2:

LCM(2, 740) = 740

GCD(2, 740) = ( 2 x 740 ) / 740

= 2 / 740

= 2

Step3:

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

= 2 / 422

= 2

So, Greatest Common Divisor of 362, 292, 740, 422 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 861, 687, 223, 665
• GCD of 476, 994, 114, 781
• GCD of 684, 583, 886, 586
• GCD of 274, 802, 772, 771
• GCD of 321, 292, 532, 484

Given numbers are 362, 292, 740, 422
The greatest common divisor of numbers 362, 292, 740, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 292, 740, 422 is 2.

1. What is the GCD of 362, 292, 740, 422?

GCD of given numbers 362, 292, 740, 422 is 2

2. How to calculate the greatest common divisor of 362, 292, 740, 422?

We can find the highest common divisor of 362, 292, 740, 422 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, 292, 740, 422 i.e 2.

3. How can I use the GCD of 362, 292, 740, 422Calculator?

Out the numbers 362, 292, 740, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.