GCD of 210, 825, 132, 220 Calculator

Given Input numbers are 210, 825, 132, 220

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 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

GCD of numbers is the greatest common divisor

So, the GCD (210, 825, 132, 220) = 1.

Given numbers are 210, 825, 132, 220

The list of prime factors of all numbers are

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

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 220 are 2 x 2 x 5 x 11

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 210, 825, 132, 220

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

Apply this formula for all numbers.

Step1:

LCM(210, 825) = 11550

GCD(210, 825) = ( 210 x 825 ) / 11550

= 210 / 825

= 210

Step2:

LCM(15, 132) = 660

GCD(15, 132) = ( 15 x 132 ) / 660

= 15 / 132

= 15

Step3:

LCM(3, 220) = 660

GCD(3, 220) = ( 3 x 220 ) / 660

= 3 / 220

= 3

So, Greatest Common Divisor of 210, 825, 132, 220 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 710, 988, 776, 768
• GCD of 395, 623, 128, 897
• GCD of 964, 148, 728, 343
• GCD of 862, 622, 839, 385
• GCD of 562, 458, 454, 262

Given numbers are 210, 825, 132, 220
The greatest common divisor of numbers 210, 825, 132, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 210, 825, 132, 220 is 1.

1. What is the GCD of 210, 825, 132, 220?

GCD of given numbers 210, 825, 132, 220 is 1

2. How to calculate the greatest common divisor of 210, 825, 132, 220?

We can find the highest common divisor of 210, 825, 132, 220 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, 825, 132, 220 i.e 1.

3. How can I use the GCD of 210, 825, 132, 220Calculator?

Out the numbers 210, 825, 132, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.