GCD of 614, 694, 266, 684 Calculator

Given Input numbers are 614, 694, 266, 684

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

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 694 :

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

1, 2, 347, 694

Divisors of 266 :

The positive integer divisors of 266 that completely divides 266 are.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (614, 694, 266, 684) = 2.

Given numbers are 614, 694, 266, 684

The list of prime factors of all numbers are

Prime factors of 614 are 2 x 307

Prime factors of 694 are 2 x 347

Prime factors of 266 are 2 x 7 x 19

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 614, 694, 266, 684 is 2.

Given numbers are 614, 694, 266, 684

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

Apply this formula for all numbers.

Step1:

LCM(614, 694) = 213058

GCD(614, 694) = ( 614 x 694 ) / 213058

= 614 / 694

= 614

Step2:

LCM(2, 266) = 266

GCD(2, 266) = ( 2 x 266 ) / 266

= 2 / 266

= 2

Step3:

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

= 2 / 684

= 2

So, Greatest Common Divisor of 614, 694, 266, 684 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 858, 828, 642, 641
• GCD of 167, 709, 374, 826
• GCD of 704, 828, 813, 506
• GCD of 440, 748, 938, 698
• GCD of 258, 345, 968, 512

Given numbers are 614, 694, 266, 684
The greatest common divisor of numbers 614, 694, 266, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 614, 694, 266, 684 is 2.

1. What is the GCD of 614, 694, 266, 684?

GCD of given numbers 614, 694, 266, 684 is 2

2. How to calculate the greatest common divisor of 614, 694, 266, 684?

We can find the highest common divisor of 614, 694, 266, 684 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 614, 694, 266, 684 i.e 2.

3. How can I use the GCD of 614, 694, 266, 684Calculator?

Out the numbers 614, 694, 266, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.