GCD of 743, 120, 684, 861 Calculator

Given Input numbers are 743, 120, 684, 861

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

Divisors of 743 :

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

1, 743

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

GCD of numbers is the greatest common divisor

So, the GCD (743, 120, 684, 861) = 1.

Given numbers are 743, 120, 684, 861

The list of prime factors of all numbers are

Prime factors of 743 are 743

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

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

Prime factors of 861 are 3 x 7 x 41

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

Given numbers are 743, 120, 684, 861

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

Apply this formula for all numbers.

Step1:

LCM(743, 120) = 89160

GCD(743, 120) = ( 743 x 120 ) / 89160

= 743 / 120

= 743

Step2:

LCM(1, 684) = 684

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

= 1 / 684

= 1

Step3:

LCM(1, 861) = 861

GCD(1, 861) = ( 1 x 861 ) / 861

= 1 / 861

= 1

So, Greatest Common Divisor of 743, 120, 684, 861 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 899, 700, 390, 298
• GCD of 554, 220, 258, 852
• GCD of 455, 973, 517, 307
• GCD of 444, 381, 361, 644
• GCD of 275, 538, 783, 461

Given numbers are 743, 120, 684, 861
The greatest common divisor of numbers 743, 120, 684, 861 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 743, 120, 684, 861 is 1.

1. What is the GCD of 743, 120, 684, 861?

GCD of given numbers 743, 120, 684, 861 is 1

2. How to calculate the greatest common divisor of 743, 120, 684, 861?

We can find the highest common divisor of 743, 120, 684, 861 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 743, 120, 684, 861 i.e 1.

3. How can I use the GCD of 743, 120, 684, 861Calculator?

Out the numbers 743, 120, 684, 861 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.