GCD of 696, 920, 920, 998 Calculator

Given Input numbers are 696, 920, 920, 998

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 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

GCD of numbers is the greatest common divisor

So, the GCD (696, 920, 920, 998) = 2.

Given numbers are 696, 920, 920, 998

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 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 998 are 2 x 499

The highest common occurrence is 2¹

Therefore, GCD of 696, 920, 920, 998 is 2.

Given numbers are 696, 920, 920, 998

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

Apply this formula for all numbers.

Step1:

LCM(696, 920) = 80040

GCD(696, 920) = ( 696 x 920 ) / 80040

= 696 / 920

= 696

Step2:

LCM(8, 920) = 920

GCD(8, 920) = ( 8 x 920 ) / 920

= 8 / 920

= 8

Step3:

LCM(8, 998) = 3992

GCD(8, 998) = ( 8 x 998 ) / 3992

= 8 / 998

= 8

So, Greatest Common Divisor of 696, 920, 920, 998 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 395, 286, 677, 782
• GCD of 199, 288, 877, 394
• GCD of 906, 134, 996, 563
• GCD of 980, 988, 751, 834
• GCD of 426, 898, 479, 763

Given numbers are 696, 920, 920, 998
The greatest common divisor of numbers 696, 920, 920, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 920, 920, 998 is 2.

1. What is the GCD of 696, 920, 920, 998?

GCD of given numbers 696, 920, 920, 998 is 2

2. How to calculate the greatest common divisor of 696, 920, 920, 998?

We can find the highest common divisor of 696, 920, 920, 998 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, 920, 920, 998 i.e 2.

3. How can I use the GCD of 696, 920, 920, 998Calculator?

Out the numbers 696, 920, 920, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.