GCD of 342, 742, 618, 990 Calculator

Given Input numbers are 342, 742, 618, 990

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 618 :

The positive integer divisors of 618 that completely divides 618 are.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

GCD of numbers is the greatest common divisor

So, the GCD (342, 742, 618, 990) = 2.

Given numbers are 342, 742, 618, 990

The list of prime factors of all numbers are

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 742 are 2 x 7 x 53

Prime factors of 618 are 2 x 3 x 103

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 342, 742, 618, 990 is 2.

Given numbers are 342, 742, 618, 990

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

Apply this formula for all numbers.

Step1:

LCM(342, 742) = 126882

GCD(342, 742) = ( 342 x 742 ) / 126882

= 342 / 742

= 342

Step2:

LCM(2, 618) = 618

GCD(2, 618) = ( 2 x 618 ) / 618

= 2 / 618

= 2

Step3:

LCM(2, 990) = 990

GCD(2, 990) = ( 2 x 990 ) / 990

= 2 / 990

= 2

So, Greatest Common Divisor of 342, 742, 618, 990 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 285, 974, 507, 674
• GCD of 476, 870, 914, 175
• GCD of 356, 660, 873, 570
• GCD of 425, 757, 739, 311
• GCD of 368, 321, 674, 456

Given numbers are 342, 742, 618, 990
The greatest common divisor of numbers 342, 742, 618, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 742, 618, 990 is 2.

1. What is the GCD of 342, 742, 618, 990?

GCD of given numbers 342, 742, 618, 990 is 2

2. How to calculate the greatest common divisor of 342, 742, 618, 990?

We can find the highest common divisor of 342, 742, 618, 990 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 342, 742, 618, 990 i.e 2.

3. How can I use the GCD of 342, 742, 618, 990Calculator?

Out the numbers 342, 742, 618, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.