GCD of 976, 622, 300, 916 Calculator

Given Input numbers are 976, 622, 300, 916

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

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 622 :

The positive integer divisors of 622 that completely divides 622 are.

1, 2, 311, 622

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 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (976, 622, 300, 916) = 2.

Given numbers are 976, 622, 300, 916

The list of prime factors of all numbers are

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

Prime factors of 622 are 2 x 311

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

Prime factors of 916 are 2 x 2 x 229

The highest common occurrence is 2¹

Therefore, GCD of 976, 622, 300, 916 is 2.

Given numbers are 976, 622, 300, 916

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

Apply this formula for all numbers.

Step1:

LCM(976, 622) = 303536

GCD(976, 622) = ( 976 x 622 ) / 303536

= 976 / 622

= 976

Step2:

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

= 2 / 300

= 2

Step3:

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

= 2 / 916

= 2

So, Greatest Common Divisor of 976, 622, 300, 916 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 941, 639, 939, 164
• GCD of 876, 121, 656, 781
• GCD of 771, 750, 205, 199
• GCD of 174, 786, 584, 342
• GCD of 750, 502, 195, 177

Given numbers are 976, 622, 300, 916
The greatest common divisor of numbers 976, 622, 300, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 622, 300, 916 is 2.

1. What is the GCD of 976, 622, 300, 916?

GCD of given numbers 976, 622, 300, 916 is 2

2. How to calculate the greatest common divisor of 976, 622, 300, 916?

We can find the highest common divisor of 976, 622, 300, 916 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 976, 622, 300, 916 i.e 2.

3. How can I use the GCD of 976, 622, 300, 916Calculator?

Out the numbers 976, 622, 300, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.