GCD of 998, 542, 988, 698 Calculator

Given Input numbers are 998, 542, 988, 698

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

Divisors of 998 :

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

1, 2, 499, 998

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

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 (998, 542, 988, 698) = 2.

Given numbers are 998, 542, 988, 698

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 542 are 2 x 271

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 698 are 2 x 349

The highest common occurrence is 2¹

Therefore, GCD of 998, 542, 988, 698 is 2.

Given numbers are 998, 542, 988, 698

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

Apply this formula for all numbers.

Step1:

LCM(998, 542) = 270458

GCD(998, 542) = ( 998 x 542 ) / 270458

= 998 / 542

= 998

Step2:

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

= 2 / 988

= 2

Step3:

LCM(2, 698) = 698

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

= 2 / 698

= 2

So, Greatest Common Divisor of 998, 542, 988, 698 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 579, 720, 102, 875
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Given numbers are 998, 542, 988, 698
The greatest common divisor of numbers 998, 542, 988, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 542, 988, 698 is 2.

1. What is the GCD of 998, 542, 988, 698?

GCD of given numbers 998, 542, 988, 698 is 2

2. How to calculate the greatest common divisor of 998, 542, 988, 698?

We can find the highest common divisor of 998, 542, 988, 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 998, 542, 988, 698 i.e 2.

3. How can I use the GCD of 998, 542, 988, 698Calculator?

Out the numbers 998, 542, 988, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.