GCD of 314, 696, 934, 134 Calculator

Given Input numbers are 314, 696, 934, 134

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

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 934 :

The positive integer divisors of 934 that completely divides 934 are.

1, 2, 467, 934

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 (314, 696, 934, 134) = 2.

Given numbers are 314, 696, 934, 134

The list of prime factors of all numbers are

Prime factors of 314 are 2 x 157

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 934 are 2 x 467

Prime factors of 134 are 2 x 67

The highest common occurrence is 2¹

Therefore, GCD of 314, 696, 934, 134 is 2.

Given numbers are 314, 696, 934, 134

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

Apply this formula for all numbers.

Step1:

LCM(314, 696) = 109272

GCD(314, 696) = ( 314 x 696 ) / 109272

= 314 / 696

= 314

Step2:

LCM(2, 934) = 934

GCD(2, 934) = ( 2 x 934 ) / 934

= 2 / 934

= 2

Step3:

LCM(2, 134) = 134

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

= 2 / 134

= 2

So, Greatest Common Divisor of 314, 696, 934, 134 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 804, 466, 545, 960
• GCD of 675, 742, 761, 124
• GCD of 352, 427, 685, 700
• GCD of 415, 835, 444, 980
• GCD of 426, 592, 955, 941

Given numbers are 314, 696, 934, 134
The greatest common divisor of numbers 314, 696, 934, 134 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 696, 934, 134 is 2.

1. What is the GCD of 314, 696, 934, 134?

GCD of given numbers 314, 696, 934, 134 is 2

2. How to calculate the greatest common divisor of 314, 696, 934, 134?

We can find the highest common divisor of 314, 696, 934, 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 314, 696, 934, 134 i.e 2.

3. How can I use the GCD of 314, 696, 934, 134Calculator?

Out the numbers 314, 696, 934, 134 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.