GCD of 542, 998, 872, 691 Calculator

Given Input numbers are 542, 998, 872, 691

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

Divisors of 542 :

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

1, 2, 271, 542

Divisors of 998 :

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

1, 2, 499, 998

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 691 :

The positive integer divisors of 691 that completely divides 691 are.

1, 691

GCD of numbers is the greatest common divisor

So, the GCD (542, 998, 872, 691) = 1.

Given numbers are 542, 998, 872, 691

The list of prime factors of all numbers are

Prime factors of 542 are 2 x 271

Prime factors of 998 are 2 x 499

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 691 are 691

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

Given numbers are 542, 998, 872, 691

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

Apply this formula for all numbers.

Step1:

LCM(542, 998) = 270458

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

= 542 / 998

= 542

Step2:

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

= 2 / 872

= 2

Step3:

LCM(2, 691) = 1382

GCD(2, 691) = ( 2 x 691 ) / 1382

= 2 / 691

= 2

So, Greatest Common Divisor of 542, 998, 872, 691 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 565, 982, 247, 470
• GCD of 245, 798, 456, 764
• GCD of 766, 771, 239, 979
• GCD of 741, 456, 899, 999
• GCD of 791, 483, 455, 329

Given numbers are 542, 998, 872, 691
The greatest common divisor of numbers 542, 998, 872, 691 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 542, 998, 872, 691 is 1.

1. What is the GCD of 542, 998, 872, 691?

GCD of given numbers 542, 998, 872, 691 is 1

2. How to calculate the greatest common divisor of 542, 998, 872, 691?

We can find the highest common divisor of 542, 998, 872, 691 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 542, 998, 872, 691 i.e 1.

3. How can I use the GCD of 542, 998, 872, 691Calculator?

Out the numbers 542, 998, 872, 691 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.