GCD of 974, 743, 104, 216 Calculator

Given Input numbers are 974, 743, 104, 216

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

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (974, 743, 104, 216) = 1.

Given numbers are 974, 743, 104, 216

The list of prime factors of all numbers are

Prime factors of 974 are 2 x 487

Prime factors of 743 are 743

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

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

Given numbers are 974, 743, 104, 216

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

Apply this formula for all numbers.

Step1:

LCM(974, 743) = 723682

GCD(974, 743) = ( 974 x 743 ) / 723682

= 974 / 743

= 974

Step2:

LCM(1, 104) = 104

GCD(1, 104) = ( 1 x 104 ) / 104

= 1 / 104

= 1

Step3:

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

= 1 / 216

= 1

So, Greatest Common Divisor of 974, 743, 104, 216 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 168, 484, 885, 430
• GCD of 666, 453, 315, 749
• GCD of 556, 473, 733, 784
• GCD of 146, 371, 926, 266
• GCD of 388, 371, 290, 332

Given numbers are 974, 743, 104, 216
The greatest common divisor of numbers 974, 743, 104, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 974, 743, 104, 216 is 1.

1. What is the GCD of 974, 743, 104, 216?

GCD of given numbers 974, 743, 104, 216 is 1

2. How to calculate the greatest common divisor of 974, 743, 104, 216?

We can find the highest common divisor of 974, 743, 104, 216 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 974, 743, 104, 216 i.e 1.

3. How can I use the GCD of 974, 743, 104, 216Calculator?

Out the numbers 974, 743, 104, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.