GCD of 340, 756, 690, 829 Calculator

Given Input numbers are 340, 756, 690, 829

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

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

GCD of numbers is the greatest common divisor

So, the GCD (340, 756, 690, 829) = 1.

Given numbers are 340, 756, 690, 829

The list of prime factors of all numbers are

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

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

Prime factors of 829 are 829

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

Given numbers are 340, 756, 690, 829

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

Apply this formula for all numbers.

Step1:

LCM(340, 756) = 64260

GCD(340, 756) = ( 340 x 756 ) / 64260

= 340 / 756

= 340

Step2:

LCM(4, 690) = 1380

GCD(4, 690) = ( 4 x 690 ) / 1380

= 4 / 690

= 4

Step3:

LCM(2, 829) = 1658

GCD(2, 829) = ( 2 x 829 ) / 1658

= 2 / 829

= 2

So, Greatest Common Divisor of 340, 756, 690, 829 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 642, 651, 449, 887
• GCD of 576, 420, 546, 924
• GCD of 632, 104, 206, 724
• GCD of 752, 870, 108, 550
• GCD of 697, 356, 404, 741

Given numbers are 340, 756, 690, 829
The greatest common divisor of numbers 340, 756, 690, 829 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 756, 690, 829 is 1.

1. What is the GCD of 340, 756, 690, 829?

GCD of given numbers 340, 756, 690, 829 is 1

2. How to calculate the greatest common divisor of 340, 756, 690, 829?

We can find the highest common divisor of 340, 756, 690, 829 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 340, 756, 690, 829 i.e 1.

3. How can I use the GCD of 340, 756, 690, 829Calculator?

Out the numbers 340, 756, 690, 829 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.