GCD of 723, 616, 462, 857 Calculator

Given Input numbers are 723, 616, 462, 857

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 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 857 :

The positive integer divisors of 857 that completely divides 857 are.

1, 857

GCD of numbers is the greatest common divisor

So, the GCD (723, 616, 462, 857) = 1.

Given numbers are 723, 616, 462, 857

The list of prime factors of all numbers are

Prime factors of 723 are 3 x 241

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 857 are 857

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

Given numbers are 723, 616, 462, 857

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

Apply this formula for all numbers.

Step1:

LCM(723, 616) = 445368

GCD(723, 616) = ( 723 x 616 ) / 445368

= 723 / 616

= 723

Step2:

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

= 1 / 462

= 1

Step3:

LCM(1, 857) = 857

GCD(1, 857) = ( 1 x 857 ) / 857

= 1 / 857

= 1

So, Greatest Common Divisor of 723, 616, 462, 857 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 291, 317, 843, 601
• GCD of 645, 619, 993, 790
• GCD of 353, 362, 932, 117
• GCD of 119, 444, 853, 691
• GCD of 325, 887, 295, 170

Given numbers are 723, 616, 462, 857
The greatest common divisor of numbers 723, 616, 462, 857 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 616, 462, 857 is 1.

1. What is the GCD of 723, 616, 462, 857?

GCD of given numbers 723, 616, 462, 857 is 1

2. How to calculate the greatest common divisor of 723, 616, 462, 857?

We can find the highest common divisor of 723, 616, 462, 857 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, 616, 462, 857 i.e 1.

3. How can I use the GCD of 723, 616, 462, 857Calculator?

Out the numbers 723, 616, 462, 857 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.