GCD of 460, 315, 242, 726 Calculator

Given Input numbers are 460, 315, 242, 726

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 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

GCD of numbers is the greatest common divisor

So, the GCD (460, 315, 242, 726) = 1.

Given numbers are 460, 315, 242, 726

The list of prime factors of all numbers are

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

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 242 are 2 x 11 x 11

Prime factors of 726 are 2 x 3 x 11 x 11

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

Given numbers are 460, 315, 242, 726

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

Apply this formula for all numbers.

Step1:

LCM(460, 315) = 28980

GCD(460, 315) = ( 460 x 315 ) / 28980

= 460 / 315

= 460

Step2:

LCM(5, 242) = 1210

GCD(5, 242) = ( 5 x 242 ) / 1210

= 5 / 242

= 5

Step3:

LCM(1, 726) = 726

GCD(1, 726) = ( 1 x 726 ) / 726

= 1 / 726

= 1

So, Greatest Common Divisor of 460, 315, 242, 726 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 989, 697, 126, 208
• GCD of 967, 854, 321, 478
• GCD of 322, 155, 473, 979
• GCD of 688, 577, 397, 323
• GCD of 113, 356, 240, 685

Given numbers are 460, 315, 242, 726
The greatest common divisor of numbers 460, 315, 242, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 315, 242, 726 is 1.

1. What is the GCD of 460, 315, 242, 726?

GCD of given numbers 460, 315, 242, 726 is 1

2. How to calculate the greatest common divisor of 460, 315, 242, 726?

We can find the highest common divisor of 460, 315, 242, 726 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, 315, 242, 726 i.e 1.

3. How can I use the GCD of 460, 315, 242, 726Calculator?

Out the numbers 460, 315, 242, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.