GCD of 294, 996, 782, 690 Calculator

Given Input numbers are 294, 996, 782, 690

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

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 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 782 :

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

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

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

GCD of numbers is the greatest common divisor

So, the GCD (294, 996, 782, 690) = 2.

Given numbers are 294, 996, 782, 690

The list of prime factors of all numbers are

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

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 782 are 2 x 17 x 23

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

The highest common occurrence is 2¹

Therefore, GCD of 294, 996, 782, 690 is 2.

Given numbers are 294, 996, 782, 690

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

Apply this formula for all numbers.

Step1:

LCM(294, 996) = 48804

GCD(294, 996) = ( 294 x 996 ) / 48804

= 294 / 996

= 294

Step2:

LCM(6, 782) = 2346

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

= 6 / 782

= 6

Step3:

LCM(2, 690) = 690

GCD(2, 690) = ( 2 x 690 ) / 690

= 2 / 690

= 2

So, Greatest Common Divisor of 294, 996, 782, 690 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 963, 373, 542, 168
• GCD of 264, 588, 168, 157
• GCD of 223, 688, 830, 923
• GCD of 448, 330, 605, 309
• GCD of 497, 863, 939, 184

Given numbers are 294, 996, 782, 690
The greatest common divisor of numbers 294, 996, 782, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 294, 996, 782, 690 is 2.

1. What is the GCD of 294, 996, 782, 690?

GCD of given numbers 294, 996, 782, 690 is 2

2. How to calculate the greatest common divisor of 294, 996, 782, 690?

We can find the highest common divisor of 294, 996, 782, 690 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 294, 996, 782, 690 i.e 2.

3. How can I use the GCD of 294, 996, 782, 690Calculator?

Out the numbers 294, 996, 782, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.