GCD of 423, 784, 746, 120 Calculator

Given Input numbers are 423, 784, 746, 120

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

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

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

GCD of numbers is the greatest common divisor

So, the GCD (423, 784, 746, 120) = 1.

Given numbers are 423, 784, 746, 120

The list of prime factors of all numbers are

Prime factors of 423 are 3 x 3 x 47

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 746 are 2 x 373

Prime factors of 120 are 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 423, 784, 746, 120

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

Apply this formula for all numbers.

Step1:

LCM(423, 784) = 331632

GCD(423, 784) = ( 423 x 784 ) / 331632

= 423 / 784

= 423

Step2:

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

= 1 / 746

= 1

Step3:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

So, Greatest Common Divisor of 423, 784, 746, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 466, 796, 538, 299
• GCD of 467, 545, 725, 345
• GCD of 938, 735, 792, 423
• GCD of 415, 443, 281, 513
• GCD of 541, 687, 838, 825

Given numbers are 423, 784, 746, 120
The greatest common divisor of numbers 423, 784, 746, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 423, 784, 746, 120 is 1.

1. What is the GCD of 423, 784, 746, 120?

GCD of given numbers 423, 784, 746, 120 is 1

2. How to calculate the greatest common divisor of 423, 784, 746, 120?

We can find the highest common divisor of 423, 784, 746, 120 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 423, 784, 746, 120 i.e 1.

3. How can I use the GCD of 423, 784, 746, 120Calculator?

Out the numbers 423, 784, 746, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.