GCD of 538, 266, 134 Calculator

Given Input numbers are 538, 266, 134

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

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 266 :

The positive integer divisors of 266 that completely divides 266 are.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 134 :

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

1, 2, 67, 134

GCD of numbers is the greatest common divisor

So, the GCD (538, 266, 134) = 2.

Given numbers are 538, 266, 134

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 266 are 2 x 7 x 19

Prime factors of 134 are 2 x 67

The highest common occurrence is 2¹

Therefore, GCD of 538, 266, 134 is 2.

Given numbers are 538, 266, 134

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

Apply this formula for all numbers.

Step1:

LCM(538, 266) = 71554

GCD(538, 266) = ( 538 x 266 ) / 71554

= 538 / 266

= 538

Step2:

LCM(2, 134) = 134

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

= 2 / 134

= 2

So, Greatest Common Divisor of 538, 266, 134 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 572, 305, 113
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• GCD of 366, 274, 379
• GCD of 388, 200, 499
• GCD of 222, 695, 131

Given numbers are 538, 266, 134
The greatest common divisor of numbers 538, 266, 134 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 266, 134 is 2.

1. What is the GCD of 538, 266, 134?

GCD of given numbers 538, 266, 134 is 2

2. How to calculate the greatest common divisor of 538, 266, 134?

We can find the highest common divisor of 538, 266, 134 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 538, 266, 134 i.e 2.

3. How can I use the GCD of 538, 266, 134Calculator?

Out the numbers 538, 266, 134 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.