GCD of 634, 214, 266, 680 Calculator

Given Input numbers are 634, 214, 266, 680

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

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 266 :

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

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

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

GCD of numbers is the greatest common divisor

So, the GCD (634, 214, 266, 680) = 2.

Given numbers are 634, 214, 266, 680

The list of prime factors of all numbers are

Prime factors of 634 are 2 x 317

Prime factors of 214 are 2 x 107

Prime factors of 266 are 2 x 7 x 19

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 634, 214, 266, 680 is 2.

Given numbers are 634, 214, 266, 680

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

Apply this formula for all numbers.

Step1:

LCM(634, 214) = 67838

GCD(634, 214) = ( 634 x 214 ) / 67838

= 634 / 214

= 634

Step2:

LCM(2, 266) = 266

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

= 2 / 266

= 2

Step3:

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

= 2 / 680

= 2

So, Greatest Common Divisor of 634, 214, 266, 680 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 126, 602, 198, 632
• GCD of 103, 598, 902, 732
• GCD of 360, 407, 433, 769
• GCD of 418, 451, 266, 826
• GCD of 194, 814, 603, 688

Given numbers are 634, 214, 266, 680
The greatest common divisor of numbers 634, 214, 266, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 634, 214, 266, 680 is 2.

1. What is the GCD of 634, 214, 266, 680?

GCD of given numbers 634, 214, 266, 680 is 2

2. How to calculate the greatest common divisor of 634, 214, 266, 680?

We can find the highest common divisor of 634, 214, 266, 680 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 634, 214, 266, 680 i.e 2.

3. How can I use the GCD of 634, 214, 266, 680Calculator?

Out the numbers 634, 214, 266, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.