GCD of 213, 687, 282, 948 Calculator

Given Input numbers are 213, 687, 282, 948

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 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

GCD of numbers is the greatest common divisor

So, the GCD (213, 687, 282, 948) = 3.

Given numbers are 213, 687, 282, 948

The list of prime factors of all numbers are

Prime factors of 213 are 3 x 71

Prime factors of 687 are 3 x 229

Prime factors of 282 are 2 x 3 x 47

Prime factors of 948 are 2 x 2 x 3 x 79

The highest common occurrence is 3¹

Therefore, GCD of 213, 687, 282, 948 is 3.

Given numbers are 213, 687, 282, 948

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

Apply this formula for all numbers.

Step1:

LCM(213, 687) = 48777

GCD(213, 687) = ( 213 x 687 ) / 48777

= 213 / 687

= 213

Step2:

LCM(3, 282) = 282

GCD(3, 282) = ( 3 x 282 ) / 282

= 3 / 282

= 3

Step3:

LCM(3, 948) = 948

GCD(3, 948) = ( 3 x 948 ) / 948

= 3 / 948

= 3

So, Greatest Common Divisor of 213, 687, 282, 948 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 598, 414, 808, 762
• GCD of 359, 532, 277, 379
• GCD of 635, 408, 149, 991
• GCD of 284, 612, 399, 997
• GCD of 188, 645, 146, 194

Given numbers are 213, 687, 282, 948
The greatest common divisor of numbers 213, 687, 282, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 213, 687, 282, 948 is 3.

1. What is the GCD of 213, 687, 282, 948?

GCD of given numbers 213, 687, 282, 948 is 3

2. How to calculate the greatest common divisor of 213, 687, 282, 948?

We can find the highest common divisor of 213, 687, 282, 948 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, 687, 282, 948 i.e 3.

3. How can I use the GCD of 213, 687, 282, 948Calculator?

Out the numbers 213, 687, 282, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.