GCD of 456, 735, 678, 789 Calculator

Given Input numbers are 456, 735, 678, 789

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

GCD of numbers is the greatest common divisor

So, the GCD (456, 735, 678, 789) = 3.

Given numbers are 456, 735, 678, 789

The list of prime factors of all numbers are

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 678 are 2 x 3 x 113

Prime factors of 789 are 3 x 263

The highest common occurrence is 3¹

Therefore, GCD of 456, 735, 678, 789 is 3.

Given numbers are 456, 735, 678, 789

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

Apply this formula for all numbers.

Step1:

LCM(456, 735) = 111720

GCD(456, 735) = ( 456 x 735 ) / 111720

= 456 / 735

= 456

Step2:

LCM(3, 678) = 678

GCD(3, 678) = ( 3 x 678 ) / 678

= 3 / 678

= 3

Step3:

LCM(3, 789) = 789

GCD(3, 789) = ( 3 x 789 ) / 789

= 3 / 789

= 3

So, Greatest Common Divisor of 456, 735, 678, 789 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 493, 490, 379, 439
• GCD of 533, 164, 794, 906
• GCD of 709, 750, 151, 179
• GCD of 833, 153, 672, 438
• GCD of 901, 731, 252, 231

Given numbers are 456, 735, 678, 789
The greatest common divisor of numbers 456, 735, 678, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 735, 678, 789 is 3.

1. What is the GCD of 456, 735, 678, 789?

GCD of given numbers 456, 735, 678, 789 is 3

2. How to calculate the greatest common divisor of 456, 735, 678, 789?

We can find the highest common divisor of 456, 735, 678, 789 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 456, 735, 678, 789 i.e 3.

3. How can I use the GCD of 456, 735, 678, 789Calculator?

Out the numbers 456, 735, 678, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.