GCD of 472, 100, 350, 844 Calculator

Given Input numbers are 472, 100, 350, 844

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

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

GCD of numbers is the greatest common divisor

So, the GCD (472, 100, 350, 844) = 2.

Given numbers are 472, 100, 350, 844

The list of prime factors of all numbers are

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 844 are 2 x 2 x 211

The highest common occurrence is 2¹

Therefore, GCD of 472, 100, 350, 844 is 2.

Given numbers are 472, 100, 350, 844

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

Apply this formula for all numbers.

Step1:

LCM(472, 100) = 11800

GCD(472, 100) = ( 472 x 100 ) / 11800

= 472 / 100

= 472

Step2:

LCM(4, 350) = 700

GCD(4, 350) = ( 4 x 350 ) / 700

= 4 / 350

= 4

Step3:

LCM(2, 844) = 844

GCD(2, 844) = ( 2 x 844 ) / 844

= 2 / 844

= 2

So, Greatest Common Divisor of 472, 100, 350, 844 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 778, 300, 287, 765
• GCD of 131, 718, 700, 911
• GCD of 630, 663, 605, 799
• GCD of 337, 945, 278, 342
• GCD of 951, 981, 501, 736

Given numbers are 472, 100, 350, 844
The greatest common divisor of numbers 472, 100, 350, 844 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 100, 350, 844 is 2.

1. What is the GCD of 472, 100, 350, 844?

GCD of given numbers 472, 100, 350, 844 is 2

2. How to calculate the greatest common divisor of 472, 100, 350, 844?

We can find the highest common divisor of 472, 100, 350, 844 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 472, 100, 350, 844 i.e 2.

3. How can I use the GCD of 472, 100, 350, 844Calculator?

Out the numbers 472, 100, 350, 844 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.