GCD of 134, 348, 512, 274 Calculator

Given Input numbers are 134, 348, 512, 274

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

Divisors of 134 :

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

1, 2, 67, 134

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

GCD of numbers is the greatest common divisor

So, the GCD (134, 348, 512, 274) = 2.

Given numbers are 134, 348, 512, 274

The list of prime factors of all numbers are

Prime factors of 134 are 2 x 67

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 274 are 2 x 137

The highest common occurrence is 2¹

Therefore, GCD of 134, 348, 512, 274 is 2.

Given numbers are 134, 348, 512, 274

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

Apply this formula for all numbers.

Step1:

LCM(134, 348) = 23316

GCD(134, 348) = ( 134 x 348 ) / 23316

= 134 / 348

= 134

Step2:

LCM(2, 512) = 512

GCD(2, 512) = ( 2 x 512 ) / 512

= 2 / 512

= 2

Step3:

LCM(2, 274) = 274

GCD(2, 274) = ( 2 x 274 ) / 274

= 2 / 274

= 2

So, Greatest Common Divisor of 134, 348, 512, 274 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 893, 630, 691, 202
• GCD of 299, 952, 791, 789
• GCD of 516, 383, 255, 403
• GCD of 647, 617, 709, 931
• GCD of 207, 768, 690, 925

Given numbers are 134, 348, 512, 274
The greatest common divisor of numbers 134, 348, 512, 274 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 348, 512, 274 is 2.

1. What is the GCD of 134, 348, 512, 274?

GCD of given numbers 134, 348, 512, 274 is 2

2. How to calculate the greatest common divisor of 134, 348, 512, 274?

We can find the highest common divisor of 134, 348, 512, 274 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 134, 348, 512, 274 i.e 2.

3. How can I use the GCD of 134, 348, 512, 274Calculator?

Out the numbers 134, 348, 512, 274 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.