GCD of 213, 270, 828, 651 Calculator

Given Input numbers are 213, 270, 828, 651

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

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

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 651 :

The positive integer divisors of 651 that completely divides 651 are.

1, 3, 7, 21, 31, 93, 217, 651

GCD of numbers is the greatest common divisor

So, the GCD (213, 270, 828, 651) = 3.

Given numbers are 213, 270, 828, 651

The list of prime factors of all numbers are

Prime factors of 213 are 3 x 71

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

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

Prime factors of 651 are 3 x 7 x 31

The highest common occurrence is 3¹

Therefore, GCD of 213, 270, 828, 651 is 3.

Given numbers are 213, 270, 828, 651

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

Apply this formula for all numbers.

Step1:

LCM(213, 270) = 19170

GCD(213, 270) = ( 213 x 270 ) / 19170

= 213 / 270

= 213

Step2:

LCM(3, 828) = 828

GCD(3, 828) = ( 3 x 828 ) / 828

= 3 / 828

= 3

Step3:

LCM(3, 651) = 651

GCD(3, 651) = ( 3 x 651 ) / 651

= 3 / 651

= 3

So, Greatest Common Divisor of 213, 270, 828, 651 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 164, 117, 865, 172
• GCD of 746, 831, 108, 140
• GCD of 591, 639, 368, 413
• GCD of 967, 128, 496, 541
• GCD of 820, 731, 651, 528

Given numbers are 213, 270, 828, 651
The greatest common divisor of numbers 213, 270, 828, 651 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 213, 270, 828, 651 is 3.

1. What is the GCD of 213, 270, 828, 651?

GCD of given numbers 213, 270, 828, 651 is 3

2. How to calculate the greatest common divisor of 213, 270, 828, 651?

We can find the highest common divisor of 213, 270, 828, 651 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 213, 270, 828, 651 i.e 3.

3. How can I use the GCD of 213, 270, 828, 651Calculator?

Out the numbers 213, 270, 828, 651 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.