GCD of 694, 780, 556, 698 Calculator

Given Input numbers are 694, 780, 556, 698

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

Divisors of 694 :

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

1, 2, 347, 694

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 556 :

The positive integer divisors of 556 that completely divides 556 are.

1, 2, 4, 139, 278, 556

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (694, 780, 556, 698) = 2.

Given numbers are 694, 780, 556, 698

The list of prime factors of all numbers are

Prime factors of 694 are 2 x 347

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 556 are 2 x 2 x 139

Prime factors of 698 are 2 x 349

The highest common occurrence is 2¹

Therefore, GCD of 694, 780, 556, 698 is 2.

Given numbers are 694, 780, 556, 698

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

Apply this formula for all numbers.

Step1:

LCM(694, 780) = 270660

GCD(694, 780) = ( 694 x 780 ) / 270660

= 694 / 780

= 694

Step2:

LCM(2, 556) = 556

GCD(2, 556) = ( 2 x 556 ) / 556

= 2 / 556

= 2

Step3:

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

= 2 / 698

= 2

So, Greatest Common Divisor of 694, 780, 556, 698 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 553, 966, 306, 587
• GCD of 310, 716, 512, 725
• GCD of 363, 122, 522, 206
• GCD of 917, 883, 203, 446
• GCD of 263, 241, 364, 299

Given numbers are 694, 780, 556, 698
The greatest common divisor of numbers 694, 780, 556, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 694, 780, 556, 698 is 2.

1. What is the GCD of 694, 780, 556, 698?

GCD of given numbers 694, 780, 556, 698 is 2

2. How to calculate the greatest common divisor of 694, 780, 556, 698?

We can find the highest common divisor of 694, 780, 556, 698 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 694, 780, 556, 698 i.e 2.

3. How can I use the GCD of 694, 780, 556, 698Calculator?

Out the numbers 694, 780, 556, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.