GCD of 476, 789, 705, 722 Calculator

Given Input numbers are 476, 789, 705, 722

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

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 789 :

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

1, 3, 263, 789

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

GCD of numbers is the greatest common divisor

So, the GCD (476, 789, 705, 722) = 1.

Given numbers are 476, 789, 705, 722

The list of prime factors of all numbers are

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 789 are 3 x 263

Prime factors of 705 are 3 x 5 x 47

Prime factors of 722 are 2 x 19 x 19

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

Given numbers are 476, 789, 705, 722

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

Apply this formula for all numbers.

Step1:

LCM(476, 789) = 375564

GCD(476, 789) = ( 476 x 789 ) / 375564

= 476 / 789

= 476

Step2:

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

= 1 / 705

= 1

Step3:

LCM(1, 722) = 722

GCD(1, 722) = ( 1 x 722 ) / 722

= 1 / 722

= 1

So, Greatest Common Divisor of 476, 789, 705, 722 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 411, 329, 497, 746
• GCD of 700, 185, 684, 312
• GCD of 922, 991, 733, 767
• GCD of 508, 222, 907, 947
• GCD of 279, 221, 626, 912

Given numbers are 476, 789, 705, 722
The greatest common divisor of numbers 476, 789, 705, 722 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 476, 789, 705, 722 is 1.

1. What is the GCD of 476, 789, 705, 722?

GCD of given numbers 476, 789, 705, 722 is 1

2. How to calculate the greatest common divisor of 476, 789, 705, 722?

We can find the highest common divisor of 476, 789, 705, 722 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 476, 789, 705, 722 i.e 1.

3. How can I use the GCD of 476, 789, 705, 722Calculator?

Out the numbers 476, 789, 705, 722 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.