GCD of 218, 966, 696, 760 Calculator

Given Input numbers are 218, 966, 696, 760

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

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

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 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

GCD of numbers is the greatest common divisor

So, the GCD (218, 966, 696, 760) = 2.

Given numbers are 218, 966, 696, 760

The list of prime factors of all numbers are

Prime factors of 218 are 2 x 109

Prime factors of 966 are 2 x 3 x 7 x 23

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

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

The highest common occurrence is 2¹

Therefore, GCD of 218, 966, 696, 760 is 2.

Given numbers are 218, 966, 696, 760

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

Apply this formula for all numbers.

Step1:

LCM(218, 966) = 105294

GCD(218, 966) = ( 218 x 966 ) / 105294

= 218 / 966

= 218

Step2:

LCM(2, 696) = 696

GCD(2, 696) = ( 2 x 696 ) / 696

= 2 / 696

= 2

Step3:

LCM(2, 760) = 760

GCD(2, 760) = ( 2 x 760 ) / 760

= 2 / 760

= 2

So, Greatest Common Divisor of 218, 966, 696, 760 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 502, 626, 451, 691
• GCD of 972, 780, 979, 593
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Given numbers are 218, 966, 696, 760
The greatest common divisor of numbers 218, 966, 696, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 218, 966, 696, 760 is 2.

1. What is the GCD of 218, 966, 696, 760?

GCD of given numbers 218, 966, 696, 760 is 2

2. How to calculate the greatest common divisor of 218, 966, 696, 760?

We can find the highest common divisor of 218, 966, 696, 760 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 218, 966, 696, 760 i.e 2.

3. How can I use the GCD of 218, 966, 696, 760Calculator?

Out the numbers 218, 966, 696, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.