GCD of 916, 750, 422, 474 Calculator

Given Input numbers are 916, 750, 422, 474

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

Divisors of 916 :

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

1, 2, 4, 229, 458, 916

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 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

GCD of numbers is the greatest common divisor

So, the GCD (916, 750, 422, 474) = 2.

Given numbers are 916, 750, 422, 474

The list of prime factors of all numbers are

Prime factors of 916 are 2 x 2 x 229

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

Prime factors of 422 are 2 x 211

Prime factors of 474 are 2 x 3 x 79

The highest common occurrence is 2¹

Therefore, GCD of 916, 750, 422, 474 is 2.

Given numbers are 916, 750, 422, 474

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

Apply this formula for all numbers.

Step1:

LCM(916, 750) = 343500

GCD(916, 750) = ( 916 x 750 ) / 343500

= 916 / 750

= 916

Step2:

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

= 2 / 422

= 2

Step3:

LCM(2, 474) = 474

GCD(2, 474) = ( 2 x 474 ) / 474

= 2 / 474

= 2

So, Greatest Common Divisor of 916, 750, 422, 474 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 679, 429, 230, 659
• GCD of 370, 595, 963, 198
• GCD of 418, 462, 252, 442
• GCD of 708, 276, 804, 996
• GCD of 321, 979, 245, 633

Given numbers are 916, 750, 422, 474
The greatest common divisor of numbers 916, 750, 422, 474 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 750, 422, 474 is 2.

1. What is the GCD of 916, 750, 422, 474?

GCD of given numbers 916, 750, 422, 474 is 2

2. How to calculate the greatest common divisor of 916, 750, 422, 474?

We can find the highest common divisor of 916, 750, 422, 474 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 916, 750, 422, 474 i.e 2.

3. How can I use the GCD of 916, 750, 422, 474Calculator?

Out the numbers 916, 750, 422, 474 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.