GCD of 460, 694, 790, 680 Calculator

Given Input numbers are 460, 694, 790, 680

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

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 694 :

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

1, 2, 347, 694

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

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 (460, 694, 790, 680) = 2.

Given numbers are 460, 694, 790, 680

The list of prime factors of all numbers are

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 694 are 2 x 347

Prime factors of 790 are 2 x 5 x 79

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

The highest common occurrence is 2¹

Therefore, GCD of 460, 694, 790, 680 is 2.

Given numbers are 460, 694, 790, 680

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

Apply this formula for all numbers.

Step1:

LCM(460, 694) = 159620

GCD(460, 694) = ( 460 x 694 ) / 159620

= 460 / 694

= 460

Step2:

LCM(2, 790) = 790

GCD(2, 790) = ( 2 x 790 ) / 790

= 2 / 790

= 2

Step3:

LCM(2, 680) = 680

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

= 2 / 680

= 2

So, Greatest Common Divisor of 460, 694, 790, 680 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 546, 442, 215, 477
• GCD of 353, 528, 409, 244
• GCD of 909, 854, 500, 688
• GCD of 154, 545, 103, 944
• GCD of 500, 141, 449, 566

Given numbers are 460, 694, 790, 680
The greatest common divisor of numbers 460, 694, 790, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 694, 790, 680 is 2.

1. What is the GCD of 460, 694, 790, 680?

GCD of given numbers 460, 694, 790, 680 is 2

2. How to calculate the greatest common divisor of 460, 694, 790, 680?

We can find the highest common divisor of 460, 694, 790, 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 460, 694, 790, 680 i.e 2.

3. How can I use the GCD of 460, 694, 790, 680Calculator?

Out the numbers 460, 694, 790, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.