GCD of 680, 854, 421, 458 Calculator

Given Input numbers are 680, 854, 421, 458

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 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

Divisors of 458 :

The positive integer divisors of 458 that completely divides 458 are.

1, 2, 229, 458

GCD of numbers is the greatest common divisor

So, the GCD (680, 854, 421, 458) = 1.

Given numbers are 680, 854, 421, 458

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 421 are 421

Prime factors of 458 are 2 x 229

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

Given numbers are 680, 854, 421, 458

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, 421) = 842

GCD(2, 421) = ( 2 x 421 ) / 842

= 2 / 421

= 2

Step3:

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

= 1 / 458

= 1

So, Greatest Common Divisor of 680, 854, 421, 458 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 165, 858, 739, 800
• GCD of 171, 822, 418, 918
• GCD of 126, 721, 878, 554
• GCD of 757, 660, 819, 295
• GCD of 323, 435, 882, 335

Given numbers are 680, 854, 421, 458
The greatest common divisor of numbers 680, 854, 421, 458 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 854, 421, 458 is 1.

1. What is the GCD of 680, 854, 421, 458?

GCD of given numbers 680, 854, 421, 458 is 1

2. How to calculate the greatest common divisor of 680, 854, 421, 458?

We can find the highest common divisor of 680, 854, 421, 458 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, 421, 458 i.e 1.

3. How can I use the GCD of 680, 854, 421, 458Calculator?

Out the numbers 680, 854, 421, 458 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.