GCD of 634, 730, 144, 212 Calculator

Given Input numbers are 634, 730, 144, 212

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

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

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 (634, 730, 144, 212) = 2.

Given numbers are 634, 730, 144, 212

The list of prime factors of all numbers are

Prime factors of 634 are 2 x 317

Prime factors of 730 are 2 x 5 x 73

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 212 are 2 x 2 x 53

The highest common occurrence is 2¹

Therefore, GCD of 634, 730, 144, 212 is 2.

Given numbers are 634, 730, 144, 212

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

Apply this formula for all numbers.

Step1:

LCM(634, 730) = 231410

GCD(634, 730) = ( 634 x 730 ) / 231410

= 634 / 730

= 634

Step2:

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

= 2 / 144

= 2

Step3:

LCM(2, 212) = 212

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

= 2 / 212

= 2

So, Greatest Common Divisor of 634, 730, 144, 212 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 768, 649, 973, 543
• GCD of 448, 804, 549, 739
• GCD of 173, 813, 900, 910
• GCD of 680, 363, 392, 390
• GCD of 517, 330, 434, 404

Given numbers are 634, 730, 144, 212
The greatest common divisor of numbers 634, 730, 144, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 634, 730, 144, 212 is 2.

1. What is the GCD of 634, 730, 144, 212?

GCD of given numbers 634, 730, 144, 212 is 2

2. How to calculate the greatest common divisor of 634, 730, 144, 212?

We can find the highest common divisor of 634, 730, 144, 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 634, 730, 144, 212 i.e 2.

3. How can I use the GCD of 634, 730, 144, 212Calculator?

Out the numbers 634, 730, 144, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.