GCD of 998, 704, 542, 733 Calculator

Given Input numbers are 998, 704, 542, 733

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 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 542 :

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

1, 2, 271, 542

Divisors of 733 :

The positive integer divisors of 733 that completely divides 733 are.

1, 733

GCD of numbers is the greatest common divisor

So, the GCD (998, 704, 542, 733) = 1.

Given numbers are 998, 704, 542, 733

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 542 are 2 x 271

Prime factors of 733 are 733

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 998, 704, 542, 733

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

Apply this formula for all numbers.

Step1:

LCM(998, 704) = 351296

GCD(998, 704) = ( 998 x 704 ) / 351296

= 998 / 704

= 998

Step2:

LCM(2, 542) = 542

GCD(2, 542) = ( 2 x 542 ) / 542

= 2 / 542

= 2

Step3:

LCM(2, 733) = 1466

GCD(2, 733) = ( 2 x 733 ) / 1466

= 2 / 733

= 2

So, Greatest Common Divisor of 998, 704, 542, 733 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 293, 965, 290, 928
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• GCD of 903, 107, 973, 390
• GCD of 106, 590, 427, 958
• GCD of 849, 641, 479, 156

Given numbers are 998, 704, 542, 733
The greatest common divisor of numbers 998, 704, 542, 733 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 704, 542, 733 is 1.

1. What is the GCD of 998, 704, 542, 733?

GCD of given numbers 998, 704, 542, 733 is 1

2. How to calculate the greatest common divisor of 998, 704, 542, 733?

We can find the highest common divisor of 998, 704, 542, 733 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, 704, 542, 733 i.e 1.

3. How can I use the GCD of 998, 704, 542, 733Calculator?

Out the numbers 998, 704, 542, 733 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.