GCD of 981, 705, 998, 960 Calculator

Given Input numbers are 981, 705, 998, 960

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 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 998 :

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

1, 2, 499, 998

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (981, 705, 998, 960) = 1.

Given numbers are 981, 705, 998, 960

The list of prime factors of all numbers are

Prime factors of 981 are 3 x 3 x 109

Prime factors of 705 are 3 x 5 x 47

Prime factors of 998 are 2 x 499

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Given numbers are 981, 705, 998, 960

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

Apply this formula for all numbers.

Step1:

LCM(981, 705) = 230535

GCD(981, 705) = ( 981 x 705 ) / 230535

= 981 / 705

= 981

Step2:

LCM(3, 998) = 2994

GCD(3, 998) = ( 3 x 998 ) / 2994

= 3 / 998

= 3

Step3:

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

= 1 / 960

= 1

So, Greatest Common Divisor of 981, 705, 998, 960 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 644, 125, 690, 879
• GCD of 536, 257, 194, 990
• GCD of 581, 482, 111, 633
• GCD of 672, 661, 860, 334
• GCD of 424, 901, 788, 912

Given numbers are 981, 705, 998, 960
The greatest common divisor of numbers 981, 705, 998, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 981, 705, 998, 960 is 1.

1. What is the GCD of 981, 705, 998, 960?

GCD of given numbers 981, 705, 998, 960 is 1

2. How to calculate the greatest common divisor of 981, 705, 998, 960?

We can find the highest common divisor of 981, 705, 998, 960 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, 705, 998, 960 i.e 1.

3. How can I use the GCD of 981, 705, 998, 960Calculator?

Out the numbers 981, 705, 998, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.