GCD of 210, 364, 798, 922 Calculator

Given Input numbers are 210, 364, 798, 922

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

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 922 :

The positive integer divisors of 922 that completely divides 922 are.

1, 2, 461, 922

GCD of numbers is the greatest common divisor

So, the GCD (210, 364, 798, 922) = 2.

Given numbers are 210, 364, 798, 922

The list of prime factors of all numbers are

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 922 are 2 x 461

The highest common occurrence is 2¹

Therefore, GCD of 210, 364, 798, 922 is 2.

Given numbers are 210, 364, 798, 922

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

Apply this formula for all numbers.

Step1:

LCM(210, 364) = 5460

GCD(210, 364) = ( 210 x 364 ) / 5460

= 210 / 364

= 210

Step2:

LCM(14, 798) = 798

GCD(14, 798) = ( 14 x 798 ) / 798

= 14 / 798

= 14

Step3:

LCM(14, 922) = 6454

GCD(14, 922) = ( 14 x 922 ) / 6454

= 14 / 922

= 14

So, Greatest Common Divisor of 210, 364, 798, 922 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 488, 387, 809, 515
• GCD of 729, 302, 745, 480
• GCD of 972, 680, 112, 138
• GCD of 855, 170, 240, 188
• GCD of 222, 448, 124, 650

Given numbers are 210, 364, 798, 922
The greatest common divisor of numbers 210, 364, 798, 922 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 210, 364, 798, 922 is 2.

1. What is the GCD of 210, 364, 798, 922?

GCD of given numbers 210, 364, 798, 922 is 2

2. How to calculate the greatest common divisor of 210, 364, 798, 922?

We can find the highest common divisor of 210, 364, 798, 922 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 210, 364, 798, 922 i.e 2.

3. How can I use the GCD of 210, 364, 798, 922Calculator?

Out the numbers 210, 364, 798, 922 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.