GCD of 402, 688, 346, 494 Calculator

Given Input numbers are 402, 688, 346, 494

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

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

GCD of numbers is the greatest common divisor

So, the GCD (402, 688, 346, 494) = 2.

Given numbers are 402, 688, 346, 494

The list of prime factors of all numbers are

Prime factors of 402 are 2 x 3 x 67

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 346 are 2 x 173

Prime factors of 494 are 2 x 13 x 19

The highest common occurrence is 2¹

Therefore, GCD of 402, 688, 346, 494 is 2.

Given numbers are 402, 688, 346, 494

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

Apply this formula for all numbers.

Step1:

LCM(402, 688) = 138288

GCD(402, 688) = ( 402 x 688 ) / 138288

= 402 / 688

= 402

Step2:

LCM(2, 346) = 346

GCD(2, 346) = ( 2 x 346 ) / 346

= 2 / 346

= 2

Step3:

LCM(2, 494) = 494

GCD(2, 494) = ( 2 x 494 ) / 494

= 2 / 494

= 2

So, Greatest Common Divisor of 402, 688, 346, 494 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 111, 171, 444, 697
• GCD of 942, 928, 683, 653
• GCD of 794, 548, 917, 123
• GCD of 183, 820, 326, 175
• GCD of 233, 309, 690, 815

Given numbers are 402, 688, 346, 494
The greatest common divisor of numbers 402, 688, 346, 494 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 688, 346, 494 is 2.

1. What is the GCD of 402, 688, 346, 494?

GCD of given numbers 402, 688, 346, 494 is 2

2. How to calculate the greatest common divisor of 402, 688, 346, 494?

We can find the highest common divisor of 402, 688, 346, 494 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 402, 688, 346, 494 i.e 2.

3. How can I use the GCD of 402, 688, 346, 494Calculator?

Out the numbers 402, 688, 346, 494 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.