GCD of 676, 687, 680, 705 Calculator

Given Input numbers are 676, 687, 680, 705

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

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 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

GCD of numbers is the greatest common divisor

So, the GCD (676, 687, 680, 705) = 1.

Given numbers are 676, 687, 680, 705

The list of prime factors of all numbers are

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 687 are 3 x 229

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

Prime factors of 705 are 3 x 5 x 47

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

Given numbers are 676, 687, 680, 705

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

Apply this formula for all numbers.

Step1:

LCM(676, 687) = 464412

GCD(676, 687) = ( 676 x 687 ) / 464412

= 676 / 687

= 676

Step2:

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

= 1 / 680

= 1

Step3:

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

= 1 / 705

= 1

So, Greatest Common Divisor of 676, 687, 680, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 899, 462, 265, 610
• GCD of 255, 111, 158, 741
• GCD of 994, 254, 508, 496
• GCD of 540, 475, 527, 805
• GCD of 597, 261, 746, 336

Given numbers are 676, 687, 680, 705
The greatest common divisor of numbers 676, 687, 680, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 687, 680, 705 is 1.

1. What is the GCD of 676, 687, 680, 705?

GCD of given numbers 676, 687, 680, 705 is 1

2. How to calculate the greatest common divisor of 676, 687, 680, 705?

We can find the highest common divisor of 676, 687, 680, 705 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 676, 687, 680, 705 i.e 1.

3. How can I use the GCD of 676, 687, 680, 705Calculator?

Out the numbers 676, 687, 680, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.