GCD of 690, 765, 830, 310 Calculator

Given Input numbers are 690, 765, 830, 310

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 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 830 :

The positive integer divisors of 830 that completely divides 830 are.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

GCD of numbers is the greatest common divisor

So, the GCD (690, 765, 830, 310) = 5.

Given numbers are 690, 765, 830, 310

The list of prime factors of all numbers are

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

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 830 are 2 x 5 x 83

Prime factors of 310 are 2 x 5 x 31

The highest common occurrence is 5¹

Therefore, GCD of 690, 765, 830, 310 is 5.

Given numbers are 690, 765, 830, 310

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

Apply this formula for all numbers.

Step1:

LCM(690, 765) = 35190

GCD(690, 765) = ( 690 x 765 ) / 35190

= 690 / 765

= 690

Step2:

LCM(15, 830) = 2490

GCD(15, 830) = ( 15 x 830 ) / 2490

= 15 / 830

= 15

Step3:

LCM(5, 310) = 310

GCD(5, 310) = ( 5 x 310 ) / 310

= 5 / 310

= 5

So, Greatest Common Divisor of 690, 765, 830, 310 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 623, 261, 706, 620
• GCD of 139, 976, 721, 710
• GCD of 432, 849, 722, 387
• GCD of 324, 716, 943, 965
• GCD of 420, 127, 245, 391

Given numbers are 690, 765, 830, 310
The greatest common divisor of numbers 690, 765, 830, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 765, 830, 310 is 5.

1. What is the GCD of 690, 765, 830, 310?

GCD of given numbers 690, 765, 830, 310 is 5

2. How to calculate the greatest common divisor of 690, 765, 830, 310?

We can find the highest common divisor of 690, 765, 830, 310 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, 765, 830, 310 i.e 5.

3. How can I use the GCD of 690, 765, 830, 310Calculator?

Out the numbers 690, 765, 830, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.