GCD of 218, 502, 782, 694 Calculator

Given Input numbers are 218, 502, 782, 694

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

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

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 (218, 502, 782, 694) = 2.

Given numbers are 218, 502, 782, 694

The list of prime factors of all numbers are

Prime factors of 218 are 2 x 109

Prime factors of 502 are 2 x 251

Prime factors of 782 are 2 x 17 x 23

Prime factors of 694 are 2 x 347

The highest common occurrence is 2¹

Therefore, GCD of 218, 502, 782, 694 is 2.

Given numbers are 218, 502, 782, 694

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

Apply this formula for all numbers.

Step1:

LCM(218, 502) = 54718

GCD(218, 502) = ( 218 x 502 ) / 54718

= 218 / 502

= 218

Step2:

LCM(2, 782) = 782

GCD(2, 782) = ( 2 x 782 ) / 782

= 2 / 782

= 2

Step3:

LCM(2, 694) = 694

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

= 2 / 694

= 2

So, Greatest Common Divisor of 218, 502, 782, 694 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 665, 822, 847, 955
• GCD of 577, 933, 264, 781
• GCD of 259, 275, 723, 506
• GCD of 988, 412, 603, 177
• GCD of 275, 343, 320, 638

Given numbers are 218, 502, 782, 694
The greatest common divisor of numbers 218, 502, 782, 694 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 218, 502, 782, 694 is 2.

1. What is the GCD of 218, 502, 782, 694?

GCD of given numbers 218, 502, 782, 694 is 2

2. How to calculate the greatest common divisor of 218, 502, 782, 694?

We can find the highest common divisor of 218, 502, 782, 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 218, 502, 782, 694 i.e 2.

3. How can I use the GCD of 218, 502, 782, 694Calculator?

Out the numbers 218, 502, 782, 694 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.