GCD of 690, 722, 913, 319 Calculator

Given Input numbers are 690, 722, 913, 319

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

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 913 :

The positive integer divisors of 913 that completely divides 913 are.

1, 11, 83, 913

Divisors of 319 :

The positive integer divisors of 319 that completely divides 319 are.

1, 11, 29, 319

GCD of numbers is the greatest common divisor

So, the GCD (690, 722, 913, 319) = 1.

Given numbers are 690, 722, 913, 319

The list of prime factors of all numbers are

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 722 are 2 x 19 x 19

Prime factors of 913 are 11 x 83

Prime factors of 319 are 11 x 29

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

Given numbers are 690, 722, 913, 319

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

Apply this formula for all numbers.

Step1:

LCM(690, 722) = 249090

GCD(690, 722) = ( 690 x 722 ) / 249090

= 690 / 722

= 690

Step2:

LCM(2, 913) = 1826

GCD(2, 913) = ( 2 x 913 ) / 1826

= 2 / 913

= 2

Step3:

LCM(1, 319) = 319

GCD(1, 319) = ( 1 x 319 ) / 319

= 1 / 319

= 1

So, Greatest Common Divisor of 690, 722, 913, 319 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 618, 591, 642, 513
• GCD of 987, 858, 326, 968
• GCD of 230, 455, 255, 840
• GCD of 979, 209, 983, 938
• GCD of 539, 408, 865, 192

Given numbers are 690, 722, 913, 319
The greatest common divisor of numbers 690, 722, 913, 319 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 722, 913, 319 is 1.

1. What is the GCD of 690, 722, 913, 319?

GCD of given numbers 690, 722, 913, 319 is 1

2. How to calculate the greatest common divisor of 690, 722, 913, 319?

We can find the highest common divisor of 690, 722, 913, 319 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 690, 722, 913, 319 i.e 1.

3. How can I use the GCD of 690, 722, 913, 319Calculator?

Out the numbers 690, 722, 913, 319 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.