GCD of 824, 456, 640, 938 Calculator

Given Input numbers are 824, 456, 640, 938

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 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 640 :

The positive integer divisors of 640 that completely divides 640 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

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 (824, 456, 640, 938) = 2.

Given numbers are 824, 456, 640, 938

The list of prime factors of all numbers are

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

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 938 are 2 x 7 x 67

The highest common occurrence is 2¹

Therefore, GCD of 824, 456, 640, 938 is 2.

Given numbers are 824, 456, 640, 938

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

Apply this formula for all numbers.

Step1:

LCM(824, 456) = 46968

GCD(824, 456) = ( 824 x 456 ) / 46968

= 824 / 456

= 824

Step2:

LCM(8, 640) = 640

GCD(8, 640) = ( 8 x 640 ) / 640

= 8 / 640

= 8

Step3:

LCM(8, 938) = 3752

GCD(8, 938) = ( 8 x 938 ) / 3752

= 8 / 938

= 8

So, Greatest Common Divisor of 824, 456, 640, 938 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 603, 498, 263, 442
• GCD of 765, 100, 811, 227
• GCD of 570, 472, 248, 273
• GCD of 160, 865, 592, 261
• GCD of 620, 514, 628, 121

Given numbers are 824, 456, 640, 938
The greatest common divisor of numbers 824, 456, 640, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 456, 640, 938 is 2.

1. What is the GCD of 824, 456, 640, 938?

GCD of given numbers 824, 456, 640, 938 is 2

2. How to calculate the greatest common divisor of 824, 456, 640, 938?

We can find the highest common divisor of 824, 456, 640, 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 824, 456, 640, 938 i.e 2.

3. How can I use the GCD of 824, 456, 640, 938Calculator?

Out the numbers 824, 456, 640, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.