GCD of 362, 270, 134, 542 Calculator

Given Input numbers are 362, 270, 134, 542

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 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 542 :

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

1, 2, 271, 542

GCD of numbers is the greatest common divisor

So, the GCD (362, 270, 134, 542) = 2.

Given numbers are 362, 270, 134, 542

The list of prime factors of all numbers are

Prime factors of 362 are 2 x 181

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 134 are 2 x 67

Prime factors of 542 are 2 x 271

The highest common occurrence is 2¹

Therefore, GCD of 362, 270, 134, 542 is 2.

Given numbers are 362, 270, 134, 542

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

Apply this formula for all numbers.

Step1:

LCM(362, 270) = 48870

GCD(362, 270) = ( 362 x 270 ) / 48870

= 362 / 270

= 362

Step2:

LCM(2, 134) = 134

GCD(2, 134) = ( 2 x 134 ) / 134

= 2 / 134

= 2

Step3:

LCM(2, 542) = 542

GCD(2, 542) = ( 2 x 542 ) / 542

= 2 / 542

= 2

So, Greatest Common Divisor of 362, 270, 134, 542 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 818, 684, 183, 967
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Given numbers are 362, 270, 134, 542
The greatest common divisor of numbers 362, 270, 134, 542 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 270, 134, 542 is 2.

1. What is the GCD of 362, 270, 134, 542?

GCD of given numbers 362, 270, 134, 542 is 2

2. How to calculate the greatest common divisor of 362, 270, 134, 542?

We can find the highest common divisor of 362, 270, 134, 542 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, 270, 134, 542 i.e 2.

3. How can I use the GCD of 362, 270, 134, 542Calculator?

Out the numbers 362, 270, 134, 542 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.