GCD of 750, 822, 688, 976 Calculator

Given Input numbers are 750, 822, 688, 976

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

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

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

GCD of numbers is the greatest common divisor

So, the GCD (750, 822, 688, 976) = 2.

Given numbers are 750, 822, 688, 976

The list of prime factors of all numbers are

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

Prime factors of 822 are 2 x 3 x 137

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

The highest common occurrence is 2¹

Therefore, GCD of 750, 822, 688, 976 is 2.

Given numbers are 750, 822, 688, 976

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

Apply this formula for all numbers.

Step1:

LCM(750, 822) = 102750

GCD(750, 822) = ( 750 x 822 ) / 102750

= 750 / 822

= 750

Step2:

LCM(6, 688) = 2064

GCD(6, 688) = ( 6 x 688 ) / 2064

= 6 / 688

= 6

Step3:

LCM(2, 976) = 976

GCD(2, 976) = ( 2 x 976 ) / 976

= 2 / 976

= 2

So, Greatest Common Divisor of 750, 822, 688, 976 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 903, 977, 481, 516
• GCD of 152, 683, 401, 894
• GCD of 875, 903, 826, 232
• GCD of 589, 597, 883, 418
• GCD of 130, 274, 664, 259

Given numbers are 750, 822, 688, 976
The greatest common divisor of numbers 750, 822, 688, 976 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 750, 822, 688, 976 is 2.

1. What is the GCD of 750, 822, 688, 976?

GCD of given numbers 750, 822, 688, 976 is 2

2. How to calculate the greatest common divisor of 750, 822, 688, 976?

We can find the highest common divisor of 750, 822, 688, 976 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 750, 822, 688, 976 i.e 2.

3. How can I use the GCD of 750, 822, 688, 976Calculator?

Out the numbers 750, 822, 688, 976 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.