GCD of 342, 118, 374, 162 Calculator

Given Input numbers are 342, 118, 374, 162

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 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

GCD of numbers is the greatest common divisor

So, the GCD (342, 118, 374, 162) = 2.

Given numbers are 342, 118, 374, 162

The list of prime factors of all numbers are

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

Prime factors of 118 are 2 x 59

Prime factors of 374 are 2 x 11 x 17

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 342, 118, 374, 162 is 2.

Given numbers are 342, 118, 374, 162

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

Apply this formula for all numbers.

Step1:

LCM(342, 118) = 20178

GCD(342, 118) = ( 342 x 118 ) / 20178

= 342 / 118

= 342

Step2:

LCM(2, 374) = 374

GCD(2, 374) = ( 2 x 374 ) / 374

= 2 / 374

= 2

Step3:

LCM(2, 162) = 162

GCD(2, 162) = ( 2 x 162 ) / 162

= 2 / 162

= 2

So, Greatest Common Divisor of 342, 118, 374, 162 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 665, 714, 401, 460
• GCD of 345, 482, 318, 118
• GCD of 550, 661, 417, 253
• GCD of 847, 955, 739, 133
• GCD of 164, 704, 181, 778

Given numbers are 342, 118, 374, 162
The greatest common divisor of numbers 342, 118, 374, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 118, 374, 162 is 2.

1. What is the GCD of 342, 118, 374, 162?

GCD of given numbers 342, 118, 374, 162 is 2

2. How to calculate the greatest common divisor of 342, 118, 374, 162?

We can find the highest common divisor of 342, 118, 374, 162 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, 118, 374, 162 i.e 2.

3. How can I use the GCD of 342, 118, 374, 162Calculator?

Out the numbers 342, 118, 374, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.