GCD of 692, 134, 584, 814 Calculator

Given Input numbers are 692, 134, 584, 814

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

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 134 :

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

1, 2, 67, 134

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

GCD of numbers is the greatest common divisor

So, the GCD (692, 134, 584, 814) = 2.

Given numbers are 692, 134, 584, 814

The list of prime factors of all numbers are

Prime factors of 692 are 2 x 2 x 173

Prime factors of 134 are 2 x 67

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 814 are 2 x 11 x 37

The highest common occurrence is 2¹

Therefore, GCD of 692, 134, 584, 814 is 2.

Given numbers are 692, 134, 584, 814

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

Apply this formula for all numbers.

Step1:

LCM(692, 134) = 46364

GCD(692, 134) = ( 692 x 134 ) / 46364

= 692 / 134

= 692

Step2:

LCM(2, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

= 2 / 584

= 2

Step3:

LCM(2, 814) = 814

GCD(2, 814) = ( 2 x 814 ) / 814

= 2 / 814

= 2

So, Greatest Common Divisor of 692, 134, 584, 814 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 486, 709, 548, 892
• GCD of 115, 749, 362, 732
• GCD of 990, 534, 621, 871
• GCD of 576, 175, 813, 609
• GCD of 145, 781, 830, 446

Given numbers are 692, 134, 584, 814
The greatest common divisor of numbers 692, 134, 584, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 692, 134, 584, 814 is 2.

1. What is the GCD of 692, 134, 584, 814?

GCD of given numbers 692, 134, 584, 814 is 2

2. How to calculate the greatest common divisor of 692, 134, 584, 814?

We can find the highest common divisor of 692, 134, 584, 814 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 692, 134, 584, 814 i.e 2.

3. How can I use the GCD of 692, 134, 584, 814Calculator?

Out the numbers 692, 134, 584, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.