GCD of 500, 401, 945, 981 Calculator

Given Input numbers are 500, 401, 945, 981

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

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 401 :

The positive integer divisors of 401 that completely divides 401 are.

1, 401

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 981 :

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

1, 3, 9, 109, 327, 981

GCD of numbers is the greatest common divisor

So, the GCD (500, 401, 945, 981) = 1.

Given numbers are 500, 401, 945, 981

The list of prime factors of all numbers are

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 401 are 401

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 981 are 3 x 3 x 109

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

Given numbers are 500, 401, 945, 981

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

Apply this formula for all numbers.

Step1:

LCM(500, 401) = 200500

GCD(500, 401) = ( 500 x 401 ) / 200500

= 500 / 401

= 500

Step2:

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

= 1 / 945

= 1

Step3:

LCM(1, 981) = 981

GCD(1, 981) = ( 1 x 981 ) / 981

= 1 / 981

= 1

So, Greatest Common Divisor of 500, 401, 945, 981 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 350, 194, 737, 577
• GCD of 334, 785, 116, 618
• GCD of 129, 269, 689, 270
• GCD of 639, 345, 677, 841
• GCD of 368, 165, 481, 473

Given numbers are 500, 401, 945, 981
The greatest common divisor of numbers 500, 401, 945, 981 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 401, 945, 981 is 1.

1. What is the GCD of 500, 401, 945, 981?

GCD of given numbers 500, 401, 945, 981 is 1

2. How to calculate the greatest common divisor of 500, 401, 945, 981?

We can find the highest common divisor of 500, 401, 945, 981 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 500, 401, 945, 981 i.e 1.

3. How can I use the GCD of 500, 401, 945, 981Calculator?

Out the numbers 500, 401, 945, 981 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.