GCD of 531, 100, 172, 698 Calculator

Given Input numbers are 531, 100, 172, 698

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

Divisors of 531 :

The positive integer divisors of 531 that completely divides 531 are.

1, 3, 9, 59, 177, 531

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

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 (531, 100, 172, 698) = 1.

Given numbers are 531, 100, 172, 698

The list of prime factors of all numbers are

Prime factors of 531 are 3 x 3 x 59

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 172 are 2 x 2 x 43

Prime factors of 698 are 2 x 349

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

Given numbers are 531, 100, 172, 698

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

Apply this formula for all numbers.

Step1:

LCM(531, 100) = 53100

GCD(531, 100) = ( 531 x 100 ) / 53100

= 531 / 100

= 531

Step2:

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

= 1 / 172

= 1

Step3:

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

= 1 / 698

= 1

So, Greatest Common Divisor of 531, 100, 172, 698 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 843, 465, 990, 321
• GCD of 302, 571, 170, 921
• GCD of 697, 697, 213, 928
• GCD of 946, 206, 239, 264
• GCD of 946, 349, 458, 886

Given numbers are 531, 100, 172, 698
The greatest common divisor of numbers 531, 100, 172, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 531, 100, 172, 698 is 1.

1. What is the GCD of 531, 100, 172, 698?

GCD of given numbers 531, 100, 172, 698 is 1

2. How to calculate the greatest common divisor of 531, 100, 172, 698?

We can find the highest common divisor of 531, 100, 172, 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 531, 100, 172, 698 i.e 1.

3. How can I use the GCD of 531, 100, 172, 698Calculator?

Out the numbers 531, 100, 172, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.