GCD of 516, 696, 652, 922 Calculator

Given Input numbers are 516, 696, 652, 922

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

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

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 652 :

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

1, 2, 4, 163, 326, 652

Divisors of 922 :

The positive integer divisors of 922 that completely divides 922 are.

1, 2, 461, 922

GCD of numbers is the greatest common divisor

So, the GCD (516, 696, 652, 922) = 2.

Given numbers are 516, 696, 652, 922

The list of prime factors of all numbers are

Prime factors of 516 are 2 x 2 x 3 x 43

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

Prime factors of 652 are 2 x 2 x 163

Prime factors of 922 are 2 x 461

The highest common occurrence is 2¹

Therefore, GCD of 516, 696, 652, 922 is 2.

Given numbers are 516, 696, 652, 922

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

Apply this formula for all numbers.

Step1:

LCM(516, 696) = 29928

GCD(516, 696) = ( 516 x 696 ) / 29928

= 516 / 696

= 516

Step2:

LCM(12, 652) = 1956

GCD(12, 652) = ( 12 x 652 ) / 1956

= 12 / 652

= 12

Step3:

LCM(4, 922) = 1844

GCD(4, 922) = ( 4 x 922 ) / 1844

= 4 / 922

= 4

So, Greatest Common Divisor of 516, 696, 652, 922 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 202, 570, 338, 786
• GCD of 925, 587, 960, 249
• GCD of 244, 692, 576, 288
• GCD of 430, 190, 915, 715
• GCD of 690, 107, 859, 780

Given numbers are 516, 696, 652, 922
The greatest common divisor of numbers 516, 696, 652, 922 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 516, 696, 652, 922 is 2.

1. What is the GCD of 516, 696, 652, 922?

GCD of given numbers 516, 696, 652, 922 is 2

2. How to calculate the greatest common divisor of 516, 696, 652, 922?

We can find the highest common divisor of 516, 696, 652, 922 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 516, 696, 652, 922 i.e 2.

3. How can I use the GCD of 516, 696, 652, 922Calculator?

Out the numbers 516, 696, 652, 922 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.