GCD of 824, 742, 908, 212 Calculator

Given Input numbers are 824, 742, 908, 212

In the factoring method, we have to find the divisors of all numbers

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

GCD of numbers is the greatest common divisor

So, the GCD (824, 742, 908, 212) = 2.

Given numbers are 824, 742, 908, 212

The list of prime factors of all numbers are

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 742 are 2 x 7 x 53

Prime factors of 908 are 2 x 2 x 227

Prime factors of 212 are 2 x 2 x 53

The highest common occurrence is 2¹

Therefore, GCD of 824, 742, 908, 212 is 2.

Given numbers are 824, 742, 908, 212

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

Apply this formula for all numbers.

Step1:

LCM(824, 742) = 305704

GCD(824, 742) = ( 824 x 742 ) / 305704

= 824 / 742

= 824

Step2:

LCM(2, 908) = 908

GCD(2, 908) = ( 2 x 908 ) / 908

= 2 / 908

= 2

Step3:

LCM(2, 212) = 212

GCD(2, 212) = ( 2 x 212 ) / 212

= 2 / 212

= 2

So, Greatest Common Divisor of 824, 742, 908, 212 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 642, 485, 875, 910
• GCD of 696, 166, 948, 745
• GCD of 442, 921, 203, 680
• GCD of 241, 271, 612, 724
• GCD of 509, 429, 675, 328

Given numbers are 824, 742, 908, 212
The greatest common divisor of numbers 824, 742, 908, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 742, 908, 212 is 2.

1. What is the GCD of 824, 742, 908, 212?

GCD of given numbers 824, 742, 908, 212 is 2

2. How to calculate the greatest common divisor of 824, 742, 908, 212?

We can find the highest common divisor of 824, 742, 908, 212 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 824, 742, 908, 212 i.e 2.

3. How can I use the GCD of 824, 742, 908, 212Calculator?

Out the numbers 824, 742, 908, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.