GCD of 696, 132, 716, 890 Calculator

Given Input numbers are 696, 132, 716, 890

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 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890

GCD of numbers is the greatest common divisor

So, the GCD (696, 132, 716, 890) = 2.

Given numbers are 696, 132, 716, 890

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 132 are 2 x 2 x 3 x 11

Prime factors of 716 are 2 x 2 x 179

Prime factors of 890 are 2 x 5 x 89

The highest common occurrence is 2¹

Therefore, GCD of 696, 132, 716, 890 is 2.

Given numbers are 696, 132, 716, 890

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

Apply this formula for all numbers.

Step1:

LCM(696, 132) = 7656

GCD(696, 132) = ( 696 x 132 ) / 7656

= 696 / 132

= 696

Step2:

LCM(12, 716) = 2148

GCD(12, 716) = ( 12 x 716 ) / 2148

= 12 / 716

= 12

Step3:

LCM(4, 890) = 1780

GCD(4, 890) = ( 4 x 890 ) / 1780

= 4 / 890

= 4

So, Greatest Common Divisor of 696, 132, 716, 890 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 997, 510, 552, 281
• GCD of 156, 568, 684, 197
• GCD of 896, 514, 284, 143
• GCD of 107, 116, 680, 643
• GCD of 504, 160, 987, 853

Given numbers are 696, 132, 716, 890
The greatest common divisor of numbers 696, 132, 716, 890 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 132, 716, 890 is 2.

1. What is the GCD of 696, 132, 716, 890?

GCD of given numbers 696, 132, 716, 890 is 2

2. How to calculate the greatest common divisor of 696, 132, 716, 890?

We can find the highest common divisor of 696, 132, 716, 890 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, 132, 716, 890 i.e 2.

3. How can I use the GCD of 696, 132, 716, 890Calculator?

Out the numbers 696, 132, 716, 890 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.