GCD of 460, 152, 693, 313 Calculator

Given Input numbers are 460, 152, 693, 313

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 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

GCD of numbers is the greatest common divisor

So, the GCD (460, 152, 693, 313) = 1.

Given numbers are 460, 152, 693, 313

The list of prime factors of all numbers are

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

Prime factors of 152 are 2 x 2 x 2 x 19

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 313 are 313

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

Given numbers are 460, 152, 693, 313

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

Apply this formula for all numbers.

Step1:

LCM(460, 152) = 17480

GCD(460, 152) = ( 460 x 152 ) / 17480

= 460 / 152

= 460

Step2:

LCM(4, 693) = 2772

GCD(4, 693) = ( 4 x 693 ) / 2772

= 4 / 693

= 4

Step3:

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

= 1 / 313

= 1

So, Greatest Common Divisor of 460, 152, 693, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 237, 895, 168, 386
• GCD of 675, 774, 397, 146
• GCD of 372, 974, 631, 606
• GCD of 866, 518, 673, 194
• GCD of 224, 920, 502, 789

Given numbers are 460, 152, 693, 313
The greatest common divisor of numbers 460, 152, 693, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 152, 693, 313 is 1.

1. What is the GCD of 460, 152, 693, 313?

GCD of given numbers 460, 152, 693, 313 is 1

2. How to calculate the greatest common divisor of 460, 152, 693, 313?

We can find the highest common divisor of 460, 152, 693, 313 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, 152, 693, 313 i.e 1.

3. How can I use the GCD of 460, 152, 693, 313Calculator?

Out the numbers 460, 152, 693, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.