GCD of 988, 422, 540, 694 Calculator

Given Input numbers are 988, 422, 540, 694

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

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 422 :

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

1, 2, 211, 422

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

GCD of numbers is the greatest common divisor

So, the GCD (988, 422, 540, 694) = 2.

Given numbers are 988, 422, 540, 694

The list of prime factors of all numbers are

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 422 are 2 x 211

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 694 are 2 x 347

The highest common occurrence is 2¹

Therefore, GCD of 988, 422, 540, 694 is 2.

Given numbers are 988, 422, 540, 694

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

Apply this formula for all numbers.

Step1:

LCM(988, 422) = 208468

GCD(988, 422) = ( 988 x 422 ) / 208468

= 988 / 422

= 988

Step2:

LCM(2, 540) = 540

GCD(2, 540) = ( 2 x 540 ) / 540

= 2 / 540

= 2

Step3:

LCM(2, 694) = 694

GCD(2, 694) = ( 2 x 694 ) / 694

= 2 / 694

= 2

So, Greatest Common Divisor of 988, 422, 540, 694 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 735, 228, 351, 413
• GCD of 737, 638, 729, 121
• GCD of 299, 424, 232, 510
• GCD of 553, 237, 203, 791
• GCD of 601, 879, 264, 322

Given numbers are 988, 422, 540, 694
The greatest common divisor of numbers 988, 422, 540, 694 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 422, 540, 694 is 2.

1. What is the GCD of 988, 422, 540, 694?

GCD of given numbers 988, 422, 540, 694 is 2

2. How to calculate the greatest common divisor of 988, 422, 540, 694?

We can find the highest common divisor of 988, 422, 540, 694 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 988, 422, 540, 694 i.e 2.

3. How can I use the GCD of 988, 422, 540, 694Calculator?

Out the numbers 988, 422, 540, 694 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.