GCD of 302, 378, 862, 492 Calculator

Given Input numbers are 302, 378, 862, 492

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

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

GCD of numbers is the greatest common divisor

So, the GCD (302, 378, 862, 492) = 2.

Given numbers are 302, 378, 862, 492

The list of prime factors of all numbers are

Prime factors of 302 are 2 x 151

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 862 are 2 x 431

Prime factors of 492 are 2 x 2 x 3 x 41

The highest common occurrence is 2¹

Therefore, GCD of 302, 378, 862, 492 is 2.

Given numbers are 302, 378, 862, 492

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

Apply this formula for all numbers.

Step1:

LCM(302, 378) = 57078

GCD(302, 378) = ( 302 x 378 ) / 57078

= 302 / 378

= 302

Step2:

LCM(2, 862) = 862

GCD(2, 862) = ( 2 x 862 ) / 862

= 2 / 862

= 2

Step3:

LCM(2, 492) = 492

GCD(2, 492) = ( 2 x 492 ) / 492

= 2 / 492

= 2

So, Greatest Common Divisor of 302, 378, 862, 492 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 498, 693, 698, 809
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Given numbers are 302, 378, 862, 492
The greatest common divisor of numbers 302, 378, 862, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 302, 378, 862, 492 is 2.

1. What is the GCD of 302, 378, 862, 492?

GCD of given numbers 302, 378, 862, 492 is 2

2. How to calculate the greatest common divisor of 302, 378, 862, 492?

We can find the highest common divisor of 302, 378, 862, 492 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 302, 378, 862, 492 i.e 2.

3. How can I use the GCD of 302, 378, 862, 492Calculator?

Out the numbers 302, 378, 862, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.