GCD of 690, 294, 782, 340 Calculator

Given Input numbers are 690, 294, 782, 340

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 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

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

GCD of numbers is the greatest common divisor

So, the GCD (690, 294, 782, 340) = 2.

Given numbers are 690, 294, 782, 340

The list of prime factors of all numbers are

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

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 782 are 2 x 17 x 23

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

The highest common occurrence is 2¹

Therefore, GCD of 690, 294, 782, 340 is 2.

Given numbers are 690, 294, 782, 340

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

Apply this formula for all numbers.

Step1:

LCM(690, 294) = 33810

GCD(690, 294) = ( 690 x 294 ) / 33810

= 690 / 294

= 690

Step2:

LCM(6, 782) = 2346

GCD(6, 782) = ( 6 x 782 ) / 2346

= 6 / 782

= 6

Step3:

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

= 2 / 340

= 2

So, Greatest Common Divisor of 690, 294, 782, 340 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 499, 659, 565, 479
• GCD of 220, 205, 914, 619
• GCD of 467, 836, 250, 849
• GCD of 197, 838, 556, 944
• GCD of 508, 681, 911, 906

Given numbers are 690, 294, 782, 340
The greatest common divisor of numbers 690, 294, 782, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 294, 782, 340 is 2.

1. What is the GCD of 690, 294, 782, 340?

GCD of given numbers 690, 294, 782, 340 is 2

2. How to calculate the greatest common divisor of 690, 294, 782, 340?

We can find the highest common divisor of 690, 294, 782, 340 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, 294, 782, 340 i.e 2.

3. How can I use the GCD of 690, 294, 782, 340Calculator?

Out the numbers 690, 294, 782, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.