GCD of 981, 648, 742, 684 Calculator

Given Input numbers are 981, 648, 742, 684

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 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (981, 648, 742, 684) = 1.

Given numbers are 981, 648, 742, 684

The list of prime factors of all numbers are

Prime factors of 981 are 3 x 3 x 109

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 742 are 2 x 7 x 53

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

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

Given numbers are 981, 648, 742, 684

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

Apply this formula for all numbers.

Step1:

LCM(981, 648) = 70632

GCD(981, 648) = ( 981 x 648 ) / 70632

= 981 / 648

= 981

Step2:

LCM(9, 742) = 6678

GCD(9, 742) = ( 9 x 742 ) / 6678

= 9 / 742

= 9

Step3:

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

= 1 / 684

= 1

So, Greatest Common Divisor of 981, 648, 742, 684 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 922, 729, 748, 273
• GCD of 275, 320, 394, 556
• GCD of 353, 482, 393, 639
• GCD of 463, 584, 125, 286
• GCD of 299, 615, 978, 432

Given numbers are 981, 648, 742, 684
The greatest common divisor of numbers 981, 648, 742, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 981, 648, 742, 684 is 1.

1. What is the GCD of 981, 648, 742, 684?

GCD of given numbers 981, 648, 742, 684 is 1

2. How to calculate the greatest common divisor of 981, 648, 742, 684?

We can find the highest common divisor of 981, 648, 742, 684 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, 648, 742, 684 i.e 1.

3. How can I use the GCD of 981, 648, 742, 684Calculator?

Out the numbers 981, 648, 742, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.