GCD of 210, 840, 270, 672 Calculator

Given Input numbers are 210, 840, 270, 672

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 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

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 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

GCD of numbers is the greatest common divisor

So, the GCD (210, 840, 270, 672) = 6.

Given numbers are 210, 840, 270, 672

The list of prime factors of all numbers are

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

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

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

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 210, 840, 270, 672 is 6.

Given numbers are 210, 840, 270, 672

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

Apply this formula for all numbers.

Step1:

LCM(210, 840) = 840

GCD(210, 840) = ( 210 x 840 ) / 840

= 210 / 840

= 210

Step2:

LCM(210, 270) = 1890

GCD(210, 270) = ( 210 x 270 ) / 1890

= 210 / 270

= 210

Step3:

LCM(30, 672) = 3360

GCD(30, 672) = ( 30 x 672 ) / 3360

= 30 / 672

= 30

So, Greatest Common Divisor of 210, 840, 270, 672 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 396, 365, 607, 278
• GCD of 202, 239, 150, 568
• GCD of 149, 687, 201, 204
• GCD of 734, 899, 437, 351
• GCD of 310, 977, 309, 845

Given numbers are 210, 840, 270, 672
The greatest common divisor of numbers 210, 840, 270, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 210, 840, 270, 672 is 6.

1. What is the GCD of 210, 840, 270, 672?

GCD of given numbers 210, 840, 270, 672 is 6

2. How to calculate the greatest common divisor of 210, 840, 270, 672?

We can find the highest common divisor of 210, 840, 270, 672 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, 840, 270, 672 i.e 6.

3. How can I use the GCD of 210, 840, 270, 672Calculator?

Out the numbers 210, 840, 270, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.