GCD of 981, 522, 100, 253 Calculator

Given Input numbers are 981, 522, 100, 253

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

Divisors of 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

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 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253

GCD of numbers is the greatest common divisor

So, the GCD (981, 522, 100, 253) = 1.

Given numbers are 981, 522, 100, 253

The list of prime factors of all numbers are

Prime factors of 981 are 3 x 3 x 109

Prime factors of 522 are 2 x 3 x 3 x 29

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

Prime factors of 253 are 11 x 23

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

Given numbers are 981, 522, 100, 253

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

Apply this formula for all numbers.

Step1:

LCM(981, 522) = 56898

GCD(981, 522) = ( 981 x 522 ) / 56898

= 981 / 522

= 981

Step2:

LCM(9, 100) = 900

GCD(9, 100) = ( 9 x 100 ) / 900

= 9 / 100

= 9

Step3:

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

= 1 / 253

= 1

So, Greatest Common Divisor of 981, 522, 100, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 400, 750, 153, 557
• GCD of 458, 897, 609, 112
• GCD of 300, 318, 841, 581
• GCD of 839, 985, 478, 703
• GCD of 320, 289, 937, 531

Given numbers are 981, 522, 100, 253
The greatest common divisor of numbers 981, 522, 100, 253 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 981, 522, 100, 253 is 1.

1. What is the GCD of 981, 522, 100, 253?

GCD of given numbers 981, 522, 100, 253 is 1

2. How to calculate the greatest common divisor of 981, 522, 100, 253?

We can find the highest common divisor of 981, 522, 100, 253 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 981, 522, 100, 253 i.e 1.

3. How can I use the GCD of 981, 522, 100, 253Calculator?

Out the numbers 981, 522, 100, 253 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.