GCD of 398, 490, 436, 698 Calculator

Given Input numbers are 398, 490, 436, 698

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

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 436 :

The positive integer divisors of 436 that completely divides 436 are.

1, 2, 4, 109, 218, 436

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (398, 490, 436, 698) = 2.

Given numbers are 398, 490, 436, 698

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 436 are 2 x 2 x 109

Prime factors of 698 are 2 x 349

The highest common occurrence is 2¹

Therefore, GCD of 398, 490, 436, 698 is 2.

Given numbers are 398, 490, 436, 698

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

Apply this formula for all numbers.

Step1:

LCM(398, 490) = 97510

GCD(398, 490) = ( 398 x 490 ) / 97510

= 398 / 490

= 398

Step2:

LCM(2, 436) = 436

GCD(2, 436) = ( 2 x 436 ) / 436

= 2 / 436

= 2

Step3:

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

= 2 / 698

= 2

So, Greatest Common Divisor of 398, 490, 436, 698 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 427, 738, 447, 542
• GCD of 800, 213, 559, 814
• GCD of 594, 324, 222, 199
• GCD of 995, 104, 322, 887
• GCD of 327, 793, 169, 482

Given numbers are 398, 490, 436, 698
The greatest common divisor of numbers 398, 490, 436, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 490, 436, 698 is 2.

1. What is the GCD of 398, 490, 436, 698?

GCD of given numbers 398, 490, 436, 698 is 2

2. How to calculate the greatest common divisor of 398, 490, 436, 698?

We can find the highest common divisor of 398, 490, 436, 698 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 398, 490, 436, 698 i.e 2.

3. How can I use the GCD of 398, 490, 436, 698Calculator?

Out the numbers 398, 490, 436, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.