GCD of 638, 300, 160, 212 Calculator

Given Input numbers are 638, 300, 160, 212

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

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

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 (638, 300, 160, 212) = 2.

Given numbers are 638, 300, 160, 212

The list of prime factors of all numbers are

Prime factors of 638 are 2 x 11 x 29

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 212 are 2 x 2 x 53

The highest common occurrence is 2¹

Therefore, GCD of 638, 300, 160, 212 is 2.

Given numbers are 638, 300, 160, 212

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

Apply this formula for all numbers.

Step1:

LCM(638, 300) = 95700

GCD(638, 300) = ( 638 x 300 ) / 95700

= 638 / 300

= 638

Step2:

LCM(2, 160) = 160

GCD(2, 160) = ( 2 x 160 ) / 160

= 2 / 160

= 2

Step3:

LCM(2, 212) = 212

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

= 2 / 212

= 2

So, Greatest Common Divisor of 638, 300, 160, 212 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 571, 991, 872, 891
• GCD of 122, 267, 717, 771
• GCD of 848, 969, 414, 992
• GCD of 473, 956, 210, 449
• GCD of 802, 559, 226, 819

Given numbers are 638, 300, 160, 212
The greatest common divisor of numbers 638, 300, 160, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 638, 300, 160, 212 is 2.

1. What is the GCD of 638, 300, 160, 212?

GCD of given numbers 638, 300, 160, 212 is 2

2. How to calculate the greatest common divisor of 638, 300, 160, 212?

We can find the highest common divisor of 638, 300, 160, 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 638, 300, 160, 212 i.e 2.

3. How can I use the GCD of 638, 300, 160, 212Calculator?

Out the numbers 638, 300, 160, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.