GCD of 210, 525, 42, 238 Calculator

Given Input numbers are 210, 525, 42, 238

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 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 42 :

The positive integer divisors of 42 that completely divides 42 are.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

GCD of numbers is the greatest common divisor

So, the GCD (210, 525, 42, 238) = 7.

Given numbers are 210, 525, 42, 238

The list of prime factors of all numbers are

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

Prime factors of 525 are 3 x 5 x 5 x 7

Prime factors of 42 are 2 x 3 x 7

Prime factors of 238 are 2 x 7 x 17

The highest common occurrence is 7¹

Therefore, GCD of 210, 525, 42, 238 is 7.

Given numbers are 210, 525, 42, 238

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

Apply this formula for all numbers.

Step1:

LCM(210, 525) = 1050

GCD(210, 525) = ( 210 x 525 ) / 1050

= 210 / 525

= 210

Step2:

LCM(105, 42) = 210

GCD(105, 42) = ( 105 x 42 ) / 210

= 105 / 42

= 105

Step3:

LCM(21, 238) = 714

GCD(21, 238) = ( 21 x 238 ) / 714

= 21 / 238

= 21

So, Greatest Common Divisor of 210, 525, 42, 238 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 247, 780, 66, 642
• GCD of 217, 200, 70, 296
• GCD of 538, 549, 27, 767
• GCD of 211, 468, 69, 756
• GCD of 707, 855, 88, 658

Given numbers are 210, 525, 42, 238
The greatest common divisor of numbers 210, 525, 42, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 210, 525, 42, 238 is 7.

1. What is the GCD of 210, 525, 42, 238?

GCD of given numbers 210, 525, 42, 238 is 7

2. How to calculate the greatest common divisor of 210, 525, 42, 238?

We can find the highest common divisor of 210, 525, 42, 238 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, 525, 42, 238 i.e 7.

3. How can I use the GCD of 210, 525, 42, 238Calculator?

Out the numbers 210, 525, 42, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.