GCD of 723, 342, 922, 965 Calculator

Given Input numbers are 723, 342, 922, 965

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

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 922 :

The positive integer divisors of 922 that completely divides 922 are.

1, 2, 461, 922

Divisors of 965 :

The positive integer divisors of 965 that completely divides 965 are.

1, 5, 193, 965

GCD of numbers is the greatest common divisor

So, the GCD (723, 342, 922, 965) = 1.

Given numbers are 723, 342, 922, 965

The list of prime factors of all numbers are

Prime factors of 723 are 3 x 241

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 922 are 2 x 461

Prime factors of 965 are 5 x 193

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

Given numbers are 723, 342, 922, 965

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

Apply this formula for all numbers.

Step1:

LCM(723, 342) = 82422

GCD(723, 342) = ( 723 x 342 ) / 82422

= 723 / 342

= 723

Step2:

LCM(3, 922) = 2766

GCD(3, 922) = ( 3 x 922 ) / 2766

= 3 / 922

= 3

Step3:

LCM(1, 965) = 965

GCD(1, 965) = ( 1 x 965 ) / 965

= 1 / 965

= 1

So, Greatest Common Divisor of 723, 342, 922, 965 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 228, 771, 746, 888
• GCD of 289, 930, 681, 777
• GCD of 917, 831, 387, 208
• GCD of 328, 917, 852, 990
• GCD of 475, 581, 107, 574

Given numbers are 723, 342, 922, 965
The greatest common divisor of numbers 723, 342, 922, 965 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 342, 922, 965 is 1.

1. What is the GCD of 723, 342, 922, 965?

GCD of given numbers 723, 342, 922, 965 is 1

2. How to calculate the greatest common divisor of 723, 342, 922, 965?

We can find the highest common divisor of 723, 342, 922, 965 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 723, 342, 922, 965 i.e 1.

3. How can I use the GCD of 723, 342, 922, 965Calculator?

Out the numbers 723, 342, 922, 965 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.