GCD of 723, 689, 870, 420 Calculator

Given Input numbers are 723, 689, 870, 420

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 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (723, 689, 870, 420) = 1.

Given numbers are 723, 689, 870, 420

The list of prime factors of all numbers are

Prime factors of 723 are 3 x 241

Prime factors of 689 are 13 x 53

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Given numbers are 723, 689, 870, 420

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

Apply this formula for all numbers.

Step1:

LCM(723, 689) = 498147

GCD(723, 689) = ( 723 x 689 ) / 498147

= 723 / 689

= 723

Step2:

LCM(1, 870) = 870

GCD(1, 870) = ( 1 x 870 ) / 870

= 1 / 870

= 1

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 723, 689, 870, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 504, 419, 693, 587
• GCD of 634, 484, 282, 600
• GCD of 721, 292, 106, 622
• GCD of 874, 902, 457, 430
• GCD of 771, 589, 419, 337

Given numbers are 723, 689, 870, 420
The greatest common divisor of numbers 723, 689, 870, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 689, 870, 420 is 1.

1. What is the GCD of 723, 689, 870, 420?

GCD of given numbers 723, 689, 870, 420 is 1

2. How to calculate the greatest common divisor of 723, 689, 870, 420?

We can find the highest common divisor of 723, 689, 870, 420 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, 689, 870, 420 i.e 1.

3. How can I use the GCD of 723, 689, 870, 420Calculator?

Out the numbers 723, 689, 870, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.