GCD of 664, 100, 440, 938 Calculator

Given Input numbers are 664, 100, 440, 938

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

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

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 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

GCD of numbers is the greatest common divisor

So, the GCD (664, 100, 440, 938) = 2.

Given numbers are 664, 100, 440, 938

The list of prime factors of all numbers are

Prime factors of 664 are 2 x 2 x 2 x 83

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

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 938 are 2 x 7 x 67

The highest common occurrence is 2¹

Therefore, GCD of 664, 100, 440, 938 is 2.

Given numbers are 664, 100, 440, 938

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

Apply this formula for all numbers.

Step1:

LCM(664, 100) = 16600

GCD(664, 100) = ( 664 x 100 ) / 16600

= 664 / 100

= 664

Step2:

LCM(4, 440) = 440

GCD(4, 440) = ( 4 x 440 ) / 440

= 4 / 440

= 4

Step3:

LCM(4, 938) = 1876

GCD(4, 938) = ( 4 x 938 ) / 1876

= 4 / 938

= 4

So, Greatest Common Divisor of 664, 100, 440, 938 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 224, 911, 577, 251
• GCD of 159, 113, 222, 438
• GCD of 524, 166, 245, 985
• GCD of 357, 862, 544, 430
• GCD of 905, 787, 755, 309

Given numbers are 664, 100, 440, 938
The greatest common divisor of numbers 664, 100, 440, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 664, 100, 440, 938 is 2.

1. What is the GCD of 664, 100, 440, 938?

GCD of given numbers 664, 100, 440, 938 is 2

2. How to calculate the greatest common divisor of 664, 100, 440, 938?

We can find the highest common divisor of 664, 100, 440, 938 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 664, 100, 440, 938 i.e 2.

3. How can I use the GCD of 664, 100, 440, 938Calculator?

Out the numbers 664, 100, 440, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.