GCD of 690, 492, 345, 759 Calculator

Given Input numbers are 690, 492, 345, 759

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 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

GCD of numbers is the greatest common divisor

So, the GCD (690, 492, 345, 759) = 3.

Given numbers are 690, 492, 345, 759

The list of prime factors of all numbers are

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

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 345 are 3 x 5 x 23

Prime factors of 759 are 3 x 11 x 23

The highest common occurrence is 3¹

Therefore, GCD of 690, 492, 345, 759 is 3.

Given numbers are 690, 492, 345, 759

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

Apply this formula for all numbers.

Step1:

LCM(690, 492) = 56580

GCD(690, 492) = ( 690 x 492 ) / 56580

= 690 / 492

= 690

Step2:

LCM(6, 345) = 690

GCD(6, 345) = ( 6 x 345 ) / 690

= 6 / 345

= 6

Step3:

LCM(3, 759) = 759

GCD(3, 759) = ( 3 x 759 ) / 759

= 3 / 759

= 3

So, Greatest Common Divisor of 690, 492, 345, 759 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 843, 819, 312, 463
• GCD of 330, 604, 736, 551
• GCD of 991, 270, 877, 390
• GCD of 357, 159, 619, 543
• GCD of 234, 349, 824, 558

Given numbers are 690, 492, 345, 759
The greatest common divisor of numbers 690, 492, 345, 759 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 492, 345, 759 is 3.

1. What is the GCD of 690, 492, 345, 759?

GCD of given numbers 690, 492, 345, 759 is 3

2. How to calculate the greatest common divisor of 690, 492, 345, 759?

We can find the highest common divisor of 690, 492, 345, 759 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, 492, 345, 759 i.e 3.

3. How can I use the GCD of 690, 492, 345, 759Calculator?

Out the numbers 690, 492, 345, 759 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.