GCD of 680, 854, 725, 649 Calculator

Given Input numbers are 680, 854, 725, 649

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

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

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

GCD of numbers is the greatest common divisor

So, the GCD (680, 854, 725, 649) = 1.

Given numbers are 680, 854, 725, 649

The list of prime factors of all numbers are

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

Prime factors of 854 are 2 x 7 x 61

Prime factors of 725 are 5 x 5 x 29

Prime factors of 649 are 11 x 59

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 680, 854, 725, 649

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

Apply this formula for all numbers.

Step1:

LCM(680, 854) = 290360

GCD(680, 854) = ( 680 x 854 ) / 290360

= 680 / 854

= 680

Step2:

LCM(2, 725) = 1450

GCD(2, 725) = ( 2 x 725 ) / 1450

= 2 / 725

= 2

Step3:

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

= 1 / 649

= 1

So, Greatest Common Divisor of 680, 854, 725, 649 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 108, 733, 801, 132
• GCD of 118, 238, 250, 913
• GCD of 656, 735, 815, 276
• GCD of 138, 879, 885, 314
• GCD of 655, 260, 205, 207

Given numbers are 680, 854, 725, 649
The greatest common divisor of numbers 680, 854, 725, 649 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 854, 725, 649 is 1.

1. What is the GCD of 680, 854, 725, 649?

GCD of given numbers 680, 854, 725, 649 is 1

2. How to calculate the greatest common divisor of 680, 854, 725, 649?

We can find the highest common divisor of 680, 854, 725, 649 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 680, 854, 725, 649 i.e 1.

3. How can I use the GCD of 680, 854, 725, 649Calculator?

Out the numbers 680, 854, 725, 649 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.