GCD of 402, 438, 890, 686 Calculator

Given Input numbers are 402, 438, 890, 686

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 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

GCD of numbers is the greatest common divisor

So, the GCD (402, 438, 890, 686) = 2.

Given numbers are 402, 438, 890, 686

The list of prime factors of all numbers are

Prime factors of 402 are 2 x 3 x 67

Prime factors of 438 are 2 x 3 x 73

Prime factors of 890 are 2 x 5 x 89

Prime factors of 686 are 2 x 7 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 402, 438, 890, 686 is 2.

Given numbers are 402, 438, 890, 686

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

Apply this formula for all numbers.

Step1:

LCM(402, 438) = 29346

GCD(402, 438) = ( 402 x 438 ) / 29346

= 402 / 438

= 402

Step2:

LCM(6, 890) = 2670

GCD(6, 890) = ( 6 x 890 ) / 2670

= 6 / 890

= 6

Step3:

LCM(2, 686) = 686

GCD(2, 686) = ( 2 x 686 ) / 686

= 2 / 686

= 2

So, Greatest Common Divisor of 402, 438, 890, 686 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 675, 517, 576, 699
• GCD of 119, 812, 916, 601
• GCD of 520, 773, 858, 680
• GCD of 997, 521, 100, 931
• GCD of 297, 925, 838, 867

Given numbers are 402, 438, 890, 686
The greatest common divisor of numbers 402, 438, 890, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 438, 890, 686 is 2.

1. What is the GCD of 402, 438, 890, 686?

GCD of given numbers 402, 438, 890, 686 is 2

2. How to calculate the greatest common divisor of 402, 438, 890, 686?

We can find the highest common divisor of 402, 438, 890, 686 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, 438, 890, 686 i.e 2.

3. How can I use the GCD of 402, 438, 890, 686Calculator?

Out the numbers 402, 438, 890, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.