GCD of 696, 514, 138, 652 Calculator

Given Input numbers are 696, 514, 138, 652

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 514 :

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

1, 2, 257, 514

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

GCD of numbers is the greatest common divisor

So, the GCD (696, 514, 138, 652) = 2.

Given numbers are 696, 514, 138, 652

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 514 are 2 x 257

Prime factors of 138 are 2 x 3 x 23

Prime factors of 652 are 2 x 2 x 163

The highest common occurrence is 2¹

Therefore, GCD of 696, 514, 138, 652 is 2.

Given numbers are 696, 514, 138, 652

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

Apply this formula for all numbers.

Step1:

LCM(696, 514) = 178872

GCD(696, 514) = ( 696 x 514 ) / 178872

= 696 / 514

= 696

Step2:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

Step3:

LCM(2, 652) = 652

GCD(2, 652) = ( 2 x 652 ) / 652

= 2 / 652

= 2

So, Greatest Common Divisor of 696, 514, 138, 652 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 894, 195, 863, 586
• GCD of 854, 389, 572, 997
• GCD of 666, 532, 237, 220
• GCD of 904, 248, 165, 636
• GCD of 150, 527, 813, 682

Given numbers are 696, 514, 138, 652
The greatest common divisor of numbers 696, 514, 138, 652 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 514, 138, 652 is 2.

1. What is the GCD of 696, 514, 138, 652?

GCD of given numbers 696, 514, 138, 652 is 2

2. How to calculate the greatest common divisor of 696, 514, 138, 652?

We can find the highest common divisor of 696, 514, 138, 652 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, 514, 138, 652 i.e 2.

3. How can I use the GCD of 696, 514, 138, 652Calculator?

Out the numbers 696, 514, 138, 652 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.