GCD of 698, 928, 854, 820 Calculator

Given Input numbers are 698, 928, 854, 820

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

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

GCD of numbers is the greatest common divisor

So, the GCD (698, 928, 854, 820) = 2.

Given numbers are 698, 928, 854, 820

The list of prime factors of all numbers are

Prime factors of 698 are 2 x 349

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

Prime factors of 854 are 2 x 7 x 61

Prime factors of 820 are 2 x 2 x 5 x 41

The highest common occurrence is 2¹

Therefore, GCD of 698, 928, 854, 820 is 2.

Given numbers are 698, 928, 854, 820

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

Apply this formula for all numbers.

Step1:

LCM(698, 928) = 323872

GCD(698, 928) = ( 698 x 928 ) / 323872

= 698 / 928

= 698

Step2:

LCM(2, 854) = 854

GCD(2, 854) = ( 2 x 854 ) / 854

= 2 / 854

= 2

Step3:

LCM(2, 820) = 820

GCD(2, 820) = ( 2 x 820 ) / 820

= 2 / 820

= 2

So, Greatest Common Divisor of 698, 928, 854, 820 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 962, 500, 984, 778
• GCD of 640, 627, 208, 373
• GCD of 736, 803, 128, 966
• GCD of 374, 816, 281, 377
• GCD of 641, 376, 561, 589

Given numbers are 698, 928, 854, 820
The greatest common divisor of numbers 698, 928, 854, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 928, 854, 820 is 2.

1. What is the GCD of 698, 928, 854, 820?

GCD of given numbers 698, 928, 854, 820 is 2

2. How to calculate the greatest common divisor of 698, 928, 854, 820?

We can find the highest common divisor of 698, 928, 854, 820 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 698, 928, 854, 820 i.e 2.

3. How can I use the GCD of 698, 928, 854, 820Calculator?

Out the numbers 698, 928, 854, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.