GCD of 648, 422, 830, 940 Calculator

Given Input numbers are 648, 422, 830, 940

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

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 422 :

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

1, 2, 211, 422

Divisors of 830 :

The positive integer divisors of 830 that completely divides 830 are.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

GCD of numbers is the greatest common divisor

So, the GCD (648, 422, 830, 940) = 2.

Given numbers are 648, 422, 830, 940

The list of prime factors of all numbers are

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 422 are 2 x 211

Prime factors of 830 are 2 x 5 x 83

Prime factors of 940 are 2 x 2 x 5 x 47

The highest common occurrence is 2¹

Therefore, GCD of 648, 422, 830, 940 is 2.

Given numbers are 648, 422, 830, 940

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

Apply this formula for all numbers.

Step1:

LCM(648, 422) = 136728

GCD(648, 422) = ( 648 x 422 ) / 136728

= 648 / 422

= 648

Step2:

LCM(2, 830) = 830

GCD(2, 830) = ( 2 x 830 ) / 830

= 2 / 830

= 2

Step3:

LCM(2, 940) = 940

GCD(2, 940) = ( 2 x 940 ) / 940

= 2 / 940

= 2

So, Greatest Common Divisor of 648, 422, 830, 940 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 437, 351, 522, 589
• GCD of 265, 394, 873, 614
• GCD of 201, 370, 193, 123
• GCD of 305, 673, 540, 738
• GCD of 679, 193, 302, 626

Given numbers are 648, 422, 830, 940
The greatest common divisor of numbers 648, 422, 830, 940 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 422, 830, 940 is 2.

1. What is the GCD of 648, 422, 830, 940?

GCD of given numbers 648, 422, 830, 940 is 2

2. How to calculate the greatest common divisor of 648, 422, 830, 940?

We can find the highest common divisor of 648, 422, 830, 940 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 648, 422, 830, 940 i.e 2.

3. How can I use the GCD of 648, 422, 830, 940Calculator?

Out the numbers 648, 422, 830, 940 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.