GCD of 696, 722, 874, 716 Calculator

Given Input numbers are 696, 722, 874, 716

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 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 716 :

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

1, 2, 4, 179, 358, 716

GCD of numbers is the greatest common divisor

So, the GCD (696, 722, 874, 716) = 2.

Given numbers are 696, 722, 874, 716

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 722 are 2 x 19 x 19

Prime factors of 874 are 2 x 19 x 23

Prime factors of 716 are 2 x 2 x 179

The highest common occurrence is 2¹

Therefore, GCD of 696, 722, 874, 716 is 2.

Given numbers are 696, 722, 874, 716

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

Apply this formula for all numbers.

Step1:

LCM(696, 722) = 251256

GCD(696, 722) = ( 696 x 722 ) / 251256

= 696 / 722

= 696

Step2:

LCM(2, 874) = 874

GCD(2, 874) = ( 2 x 874 ) / 874

= 2 / 874

= 2

Step3:

LCM(2, 716) = 716

GCD(2, 716) = ( 2 x 716 ) / 716

= 2 / 716

= 2

So, Greatest Common Divisor of 696, 722, 874, 716 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 199, 532, 989, 908
• GCD of 187, 308, 293, 581
• GCD of 893, 235, 785, 189
• GCD of 979, 757, 238, 932
• GCD of 197, 864, 381, 758

Given numbers are 696, 722, 874, 716
The greatest common divisor of numbers 696, 722, 874, 716 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 722, 874, 716 is 2.

1. What is the GCD of 696, 722, 874, 716?

GCD of given numbers 696, 722, 874, 716 is 2

2. How to calculate the greatest common divisor of 696, 722, 874, 716?

We can find the highest common divisor of 696, 722, 874, 716 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, 722, 874, 716 i.e 2.

3. How can I use the GCD of 696, 722, 874, 716Calculator?

Out the numbers 696, 722, 874, 716 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.