GCD of 674, 828, 996, 210 Calculator

Given Input numbers are 674, 828, 996, 210

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

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

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

GCD of numbers is the greatest common divisor

So, the GCD (674, 828, 996, 210) = 2.

Given numbers are 674, 828, 996, 210

The list of prime factors of all numbers are

Prime factors of 674 are 2 x 337

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 996 are 2 x 2 x 3 x 83

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

The highest common occurrence is 2¹

Therefore, GCD of 674, 828, 996, 210 is 2.

Given numbers are 674, 828, 996, 210

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

Apply this formula for all numbers.

Step1:

LCM(674, 828) = 279036

GCD(674, 828) = ( 674 x 828 ) / 279036

= 674 / 828

= 674

Step2:

LCM(2, 996) = 996

GCD(2, 996) = ( 2 x 996 ) / 996

= 2 / 996

= 2

Step3:

LCM(2, 210) = 210

GCD(2, 210) = ( 2 x 210 ) / 210

= 2 / 210

= 2

So, Greatest Common Divisor of 674, 828, 996, 210 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 746, 548, 248, 429
• GCD of 623, 727, 252, 178
• GCD of 769, 606, 337, 141
• GCD of 232, 414, 558, 163
• GCD of 649, 160, 585, 593

Given numbers are 674, 828, 996, 210
The greatest common divisor of numbers 674, 828, 996, 210 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 674, 828, 996, 210 is 2.

1. What is the GCD of 674, 828, 996, 210?

GCD of given numbers 674, 828, 996, 210 is 2

2. How to calculate the greatest common divisor of 674, 828, 996, 210?

We can find the highest common divisor of 674, 828, 996, 210 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 674, 828, 996, 210 i.e 2.

3. How can I use the GCD of 674, 828, 996, 210Calculator?

Out the numbers 674, 828, 996, 210 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.