GCD of 440, 688, 976, 838 Calculator

Given Input numbers are 440, 688, 976, 838

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

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 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

GCD of numbers is the greatest common divisor

So, the GCD (440, 688, 976, 838) = 2.

Given numbers are 440, 688, 976, 838

The list of prime factors of all numbers are

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

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 838 are 2 x 419

The highest common occurrence is 2¹

Therefore, GCD of 440, 688, 976, 838 is 2.

Given numbers are 440, 688, 976, 838

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

Apply this formula for all numbers.

Step1:

LCM(440, 688) = 37840

GCD(440, 688) = ( 440 x 688 ) / 37840

= 440 / 688

= 440

Step2:

LCM(8, 976) = 976

GCD(8, 976) = ( 8 x 976 ) / 976

= 8 / 976

= 8

Step3:

LCM(8, 838) = 3352

GCD(8, 838) = ( 8 x 838 ) / 3352

= 8 / 838

= 8

So, Greatest Common Divisor of 440, 688, 976, 838 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 219, 419, 228, 990
• GCD of 711, 178, 473, 225
• GCD of 947, 378, 302, 598
• GCD of 787, 364, 531, 849
• GCD of 785, 527, 957, 359

Given numbers are 440, 688, 976, 838
The greatest common divisor of numbers 440, 688, 976, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 440, 688, 976, 838 is 2.

1. What is the GCD of 440, 688, 976, 838?

GCD of given numbers 440, 688, 976, 838 is 2

2. How to calculate the greatest common divisor of 440, 688, 976, 838?

We can find the highest common divisor of 440, 688, 976, 838 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 440, 688, 976, 838 i.e 2.

3. How can I use the GCD of 440, 688, 976, 838Calculator?

Out the numbers 440, 688, 976, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.