GCD of 542, 704, 346, 166 Calculator

Given Input numbers are 542, 704, 346, 166

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

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

Divisors of 166 :

The positive integer divisors of 166 that completely divides 166 are.

1, 2, 83, 166

GCD of numbers is the greatest common divisor

So, the GCD (542, 704, 346, 166) = 2.

Given numbers are 542, 704, 346, 166

The list of prime factors of all numbers are

Prime factors of 542 are 2 x 271

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 346 are 2 x 173

Prime factors of 166 are 2 x 83

The highest common occurrence is 2¹

Therefore, GCD of 542, 704, 346, 166 is 2.

Given numbers are 542, 704, 346, 166

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

Apply this formula for all numbers.

Step1:

LCM(542, 704) = 190784

GCD(542, 704) = ( 542 x 704 ) / 190784

= 542 / 704

= 542

Step2:

LCM(2, 346) = 346

GCD(2, 346) = ( 2 x 346 ) / 346

= 2 / 346

= 2

Step3:

LCM(2, 166) = 166

GCD(2, 166) = ( 2 x 166 ) / 166

= 2 / 166

= 2

So, Greatest Common Divisor of 542, 704, 346, 166 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 386, 221, 674, 811
• GCD of 101, 919, 365, 365
• GCD of 977, 985, 194, 473
• GCD of 896, 266, 145, 421
• GCD of 513, 543, 462, 948

Given numbers are 542, 704, 346, 166
The greatest common divisor of numbers 542, 704, 346, 166 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 542, 704, 346, 166 is 2.

1. What is the GCD of 542, 704, 346, 166?

GCD of given numbers 542, 704, 346, 166 is 2

2. How to calculate the greatest common divisor of 542, 704, 346, 166?

We can find the highest common divisor of 542, 704, 346, 166 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 542, 704, 346, 166 i.e 2.

3. How can I use the GCD of 542, 704, 346, 166Calculator?

Out the numbers 542, 704, 346, 166 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.