GCD of 688, 420, 998, 898 Calculator

Given Input numbers are 688, 420, 998, 898

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

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

GCD of numbers is the greatest common divisor

So, the GCD (688, 420, 998, 898) = 2.

Given numbers are 688, 420, 998, 898

The list of prime factors of all numbers are

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

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 998 are 2 x 499

Prime factors of 898 are 2 x 449

The highest common occurrence is 2¹

Therefore, GCD of 688, 420, 998, 898 is 2.

Given numbers are 688, 420, 998, 898

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

Apply this formula for all numbers.

Step1:

LCM(688, 420) = 72240

GCD(688, 420) = ( 688 x 420 ) / 72240

= 688 / 420

= 688

Step2:

LCM(4, 998) = 1996

GCD(4, 998) = ( 4 x 998 ) / 1996

= 4 / 998

= 4

Step3:

LCM(2, 898) = 898

GCD(2, 898) = ( 2 x 898 ) / 898

= 2 / 898

= 2

So, Greatest Common Divisor of 688, 420, 998, 898 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 531, 484, 221, 720
• GCD of 996, 524, 653, 664
• GCD of 495, 429, 684, 516
• GCD of 324, 746, 273, 864
• GCD of 854, 372, 666, 588

Given numbers are 688, 420, 998, 898
The greatest common divisor of numbers 688, 420, 998, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 420, 998, 898 is 2.

1. What is the GCD of 688, 420, 998, 898?

GCD of given numbers 688, 420, 998, 898 is 2

2. How to calculate the greatest common divisor of 688, 420, 998, 898?

We can find the highest common divisor of 688, 420, 998, 898 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 688, 420, 998, 898 i.e 2.

3. How can I use the GCD of 688, 420, 998, 898Calculator?

Out the numbers 688, 420, 998, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.