GCD of 460, 355, 918, 676 Calculator

Given Input numbers are 460, 355, 918, 676

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 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 676 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (460, 355, 918, 676) = 1.

Given numbers are 460, 355, 918, 676

The list of prime factors of all numbers are

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

Prime factors of 355 are 5 x 71

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

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

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

Given numbers are 460, 355, 918, 676

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

Apply this formula for all numbers.

Step1:

LCM(460, 355) = 32660

GCD(460, 355) = ( 460 x 355 ) / 32660

= 460 / 355

= 460

Step2:

LCM(5, 918) = 4590

GCD(5, 918) = ( 5 x 918 ) / 4590

= 5 / 918

= 5

Step3:

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

= 1 / 676

= 1

So, Greatest Common Divisor of 460, 355, 918, 676 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 797, 764, 775, 479
• GCD of 900, 745, 143, 553
• GCD of 626, 390, 524, 387
• GCD of 343, 469, 182, 942
• GCD of 406, 776, 453, 223

Given numbers are 460, 355, 918, 676
The greatest common divisor of numbers 460, 355, 918, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 355, 918, 676 is 1.

1. What is the GCD of 460, 355, 918, 676?

GCD of given numbers 460, 355, 918, 676 is 1

2. How to calculate the greatest common divisor of 460, 355, 918, 676?

We can find the highest common divisor of 460, 355, 918, 676 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, 355, 918, 676 i.e 1.

3. How can I use the GCD of 460, 355, 918, 676Calculator?

Out the numbers 460, 355, 918, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.