GCD of 402, 694, 936, 298 Calculator

Given Input numbers are 402, 694, 936, 298

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 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

GCD of numbers is the greatest common divisor

So, the GCD (402, 694, 936, 298) = 2.

Given numbers are 402, 694, 936, 298

The list of prime factors of all numbers are

Prime factors of 402 are 2 x 3 x 67

Prime factors of 694 are 2 x 347

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 298 are 2 x 149

The highest common occurrence is 2¹

Therefore, GCD of 402, 694, 936, 298 is 2.

Given numbers are 402, 694, 936, 298

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

Apply this formula for all numbers.

Step1:

LCM(402, 694) = 139494

GCD(402, 694) = ( 402 x 694 ) / 139494

= 402 / 694

= 402

Step2:

LCM(2, 936) = 936

GCD(2, 936) = ( 2 x 936 ) / 936

= 2 / 936

= 2

Step3:

LCM(2, 298) = 298

GCD(2, 298) = ( 2 x 298 ) / 298

= 2 / 298

= 2

So, Greatest Common Divisor of 402, 694, 936, 298 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 700, 916, 118, 358
• GCD of 545, 764, 766, 786
• GCD of 136, 421, 306, 339
• GCD of 578, 640, 167, 370
• GCD of 345, 976, 329, 472

Given numbers are 402, 694, 936, 298
The greatest common divisor of numbers 402, 694, 936, 298 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 694, 936, 298 is 2.

1. What is the GCD of 402, 694, 936, 298?

GCD of given numbers 402, 694, 936, 298 is 2

2. How to calculate the greatest common divisor of 402, 694, 936, 298?

We can find the highest common divisor of 402, 694, 936, 298 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, 694, 936, 298 i.e 2.

3. How can I use the GCD of 402, 694, 936, 298Calculator?

Out the numbers 402, 694, 936, 298 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.