GCD of 294, 702, 498, 366 Calculator

Given Input numbers are 294, 702, 498, 366

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 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

GCD of numbers is the greatest common divisor

So, the GCD (294, 702, 498, 366) = 6.

Given numbers are 294, 702, 498, 366

The list of prime factors of all numbers are

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

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 498 are 2 x 3 x 83

Prime factors of 366 are 2 x 3 x 61

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 294, 702, 498, 366 is 6.

Given numbers are 294, 702, 498, 366

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

Apply this formula for all numbers.

Step1:

LCM(294, 702) = 34398

GCD(294, 702) = ( 294 x 702 ) / 34398

= 294 / 702

= 294

Step2:

LCM(6, 498) = 498

GCD(6, 498) = ( 6 x 498 ) / 498

= 6 / 498

= 6

Step3:

LCM(6, 366) = 366

GCD(6, 366) = ( 6 x 366 ) / 366

= 6 / 366

= 6

So, Greatest Common Divisor of 294, 702, 498, 366 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 429, 849, 293, 197
• GCD of 434, 614, 134, 882
• GCD of 302, 860, 525, 270
• GCD of 106, 175, 349, 852
• GCD of 776, 932, 138, 708

Given numbers are 294, 702, 498, 366
The greatest common divisor of numbers 294, 702, 498, 366 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 294, 702, 498, 366 is 6.

1. What is the GCD of 294, 702, 498, 366?

GCD of given numbers 294, 702, 498, 366 is 6

2. How to calculate the greatest common divisor of 294, 702, 498, 366?

We can find the highest common divisor of 294, 702, 498, 366 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, 702, 498, 366 i.e 6.

3. How can I use the GCD of 294, 702, 498, 366Calculator?

Out the numbers 294, 702, 498, 366 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.