GCD of 753, 810, 837, 420 Calculator

Given Input numbers are 753, 810, 837, 420

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

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 810 :

The positive integer divisors of 810 that completely divides 810 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 837 :

The positive integer divisors of 837 that completely divides 837 are.

1, 3, 9, 27, 31, 93, 279, 837

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 (753, 810, 837, 420) = 3.

Given numbers are 753, 810, 837, 420

The list of prime factors of all numbers are

Prime factors of 753 are 3 x 251

Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5

Prime factors of 837 are 3 x 3 x 3 x 31

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

The highest common occurrence is 3¹

Therefore, GCD of 753, 810, 837, 420 is 3.

Given numbers are 753, 810, 837, 420

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

Apply this formula for all numbers.

Step1:

LCM(753, 810) = 203310

GCD(753, 810) = ( 753 x 810 ) / 203310

= 753 / 810

= 753

Step2:

LCM(3, 837) = 837

GCD(3, 837) = ( 3 x 837 ) / 837

= 3 / 837

= 3

Step3:

LCM(3, 420) = 420

GCD(3, 420) = ( 3 x 420 ) / 420

= 3 / 420

= 3

So, Greatest Common Divisor of 753, 810, 837, 420 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 964, 530, 941, 327
• GCD of 432, 247, 857, 919
• GCD of 717, 241, 706, 653
• GCD of 333, 593, 133, 721
• GCD of 568, 104, 658, 761

Given numbers are 753, 810, 837, 420
The greatest common divisor of numbers 753, 810, 837, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 753, 810, 837, 420 is 3.

1. What is the GCD of 753, 810, 837, 420?

GCD of given numbers 753, 810, 837, 420 is 3

2. How to calculate the greatest common divisor of 753, 810, 837, 420?

We can find the highest common divisor of 753, 810, 837, 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 753, 810, 837, 420 i.e 3.

3. How can I use the GCD of 753, 810, 837, 420Calculator?

Out the numbers 753, 810, 837, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.