GCD of 696, 574, 380, 514 Calculator

Given Input numbers are 696, 574, 380, 514

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

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 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

GCD of numbers is the greatest common divisor

So, the GCD (696, 574, 380, 514) = 2.

Given numbers are 696, 574, 380, 514

The list of prime factors of all numbers are

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

Prime factors of 574 are 2 x 7 x 41

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 514 are 2 x 257

The highest common occurrence is 2¹

Therefore, GCD of 696, 574, 380, 514 is 2.

Given numbers are 696, 574, 380, 514

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

Apply this formula for all numbers.

Step1:

LCM(696, 574) = 199752

GCD(696, 574) = ( 696 x 574 ) / 199752

= 696 / 574

= 696

Step2:

LCM(2, 380) = 380

GCD(2, 380) = ( 2 x 380 ) / 380

= 2 / 380

= 2

Step3:

LCM(2, 514) = 514

GCD(2, 514) = ( 2 x 514 ) / 514

= 2 / 514

= 2

So, Greatest Common Divisor of 696, 574, 380, 514 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 691, 584, 614, 746
• GCD of 294, 501, 815, 302
• GCD of 666, 854, 449, 278
• GCD of 295, 614, 663, 410
• GCD of 273, 120, 248, 112

Given numbers are 696, 574, 380, 514
The greatest common divisor of numbers 696, 574, 380, 514 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 574, 380, 514 is 2.

1. What is the GCD of 696, 574, 380, 514?

GCD of given numbers 696, 574, 380, 514 is 2

2. How to calculate the greatest common divisor of 696, 574, 380, 514?

We can find the highest common divisor of 696, 574, 380, 514 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 696, 574, 380, 514 i.e 2.

3. How can I use the GCD of 696, 574, 380, 514Calculator?

Out the numbers 696, 574, 380, 514 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.