GCD of 759, 207, 261, 420 Calculator

Given Input numbers are 759, 207, 261, 420

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

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 207 :

The positive integer divisors of 207 that completely divides 207 are.

1, 3, 9, 23, 69, 207

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 (759, 207, 261, 420) = 3.

Given numbers are 759, 207, 261, 420

The list of prime factors of all numbers are

Prime factors of 759 are 3 x 11 x 23

Prime factors of 207 are 3 x 3 x 23

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 759, 207, 261, 420 is 3.

Given numbers are 759, 207, 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(759, 207) = 2277

GCD(759, 207) = ( 759 x 207 ) / 2277

= 759 / 207

= 759

Step2:

LCM(69, 261) = 6003

GCD(69, 261) = ( 69 x 261 ) / 6003

= 69 / 261

= 69

Step3:

LCM(3, 420) = 420

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

= 3 / 420

= 3

So, Greatest Common Divisor of 759, 207, 261, 420 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 527, 356, 897, 589
• GCD of 632, 897, 360, 303
• GCD of 674, 828, 996, 210
• GCD of 959, 578, 207, 626
• GCD of 906, 940, 332, 724

Given numbers are 759, 207, 261, 420
The greatest common divisor of numbers 759, 207, 261, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 759, 207, 261, 420 is 3.

1. What is the GCD of 759, 207, 261, 420?

GCD of given numbers 759, 207, 261, 420 is 3

2. How to calculate the greatest common divisor of 759, 207, 261, 420?

We can find the highest common divisor of 759, 207, 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 759, 207, 261, 420 i.e 3.

3. How can I use the GCD of 759, 207, 261, 420Calculator?

Out the numbers 759, 207, 261, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.