GCD of 210, 420, 400, 892 Calculator

Given Input numbers are 210, 420, 400, 892

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

GCD of numbers is the greatest common divisor

So, the GCD (210, 420, 400, 892) = 2.

Given numbers are 210, 420, 400, 892

The list of prime factors of all numbers are

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

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 892 are 2 x 2 x 223

The highest common occurrence is 2¹

Therefore, GCD of 210, 420, 400, 892 is 2.

Given numbers are 210, 420, 400, 892

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

Apply this formula for all numbers.

Step1:

LCM(210, 420) = 420

GCD(210, 420) = ( 210 x 420 ) / 420

= 210 / 420

= 210

Step2:

LCM(210, 400) = 8400

GCD(210, 400) = ( 210 x 400 ) / 8400

= 210 / 400

= 210

Step3:

LCM(10, 892) = 4460

GCD(10, 892) = ( 10 x 892 ) / 4460

= 10 / 892

= 10

So, Greatest Common Divisor of 210, 420, 400, 892 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 614, 326, 759, 778
• GCD of 762, 655, 929, 181
• GCD of 390, 415, 577, 238
• GCD of 825, 140, 993, 959
• GCD of 905, 802, 672, 665

Given numbers are 210, 420, 400, 892
The greatest common divisor of numbers 210, 420, 400, 892 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 210, 420, 400, 892 is 2.

1. What is the GCD of 210, 420, 400, 892?

GCD of given numbers 210, 420, 400, 892 is 2

2. How to calculate the greatest common divisor of 210, 420, 400, 892?

We can find the highest common divisor of 210, 420, 400, 892 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, 420, 400, 892 i.e 2.

3. How can I use the GCD of 210, 420, 400, 892Calculator?

Out the numbers 210, 420, 400, 892 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.