GCD of 708, 873, 261, 420 Calculator

Given Input numbers are 708, 873, 261, 420

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

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 873 :

The positive integer divisors of 873 that completely divides 873 are.

1, 3, 9, 97, 291, 873

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

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 (708, 873, 261, 420) = 3.

Given numbers are 708, 873, 261, 420

The list of prime factors of all numbers are

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 873 are 3 x 3 x 97

Prime factors of 261 are 3 x 3 x 29

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

The highest common occurrence is 3¹

Therefore, GCD of 708, 873, 261, 420 is 3.

Given numbers are 708, 873, 261, 420

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

Apply this formula for all numbers.

Step1:

LCM(708, 873) = 206028

GCD(708, 873) = ( 708 x 873 ) / 206028

= 708 / 873

= 708

Step2:

LCM(3, 261) = 261

GCD(3, 261) = ( 3 x 261 ) / 261

= 3 / 261

= 3

Step3:

LCM(3, 420) = 420

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

= 3 / 420

= 3

So, Greatest Common Divisor of 708, 873, 261, 420 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 848, 958, 543, 201
• GCD of 658, 483, 405, 383
• GCD of 702, 751, 976, 918
• GCD of 798, 505, 978, 320
• GCD of 130, 288, 496, 861

Given numbers are 708, 873, 261, 420
The greatest common divisor of numbers 708, 873, 261, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 873, 261, 420 is 3.

1. What is the GCD of 708, 873, 261, 420?

GCD of given numbers 708, 873, 261, 420 is 3

2. How to calculate the greatest common divisor of 708, 873, 261, 420?

We can find the highest common divisor of 708, 873, 261, 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 708, 873, 261, 420 i.e 3.

3. How can I use the GCD of 708, 873, 261, 420Calculator?

Out the numbers 708, 873, 261, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.