GCD of 780, 252, 771, 261 Calculator

Given Input numbers are 780, 252, 771, 261

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

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

Divisors of 261 :

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

1, 3, 9, 29, 87, 261

GCD of numbers is the greatest common divisor

So, the GCD (780, 252, 771, 261) = 3.

Given numbers are 780, 252, 771, 261

The list of prime factors of all numbers are

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 771 are 3 x 257

Prime factors of 261 are 3 x 3 x 29

The highest common occurrence is 3¹

Therefore, GCD of 780, 252, 771, 261 is 3.

Given numbers are 780, 252, 771, 261

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

Apply this formula for all numbers.

Step1:

LCM(780, 252) = 16380

GCD(780, 252) = ( 780 x 252 ) / 16380

= 780 / 252

= 780

Step2:

LCM(12, 771) = 3084

GCD(12, 771) = ( 12 x 771 ) / 3084

= 12 / 771

= 12

Step3:

LCM(3, 261) = 261

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

= 3 / 261

= 3

So, Greatest Common Divisor of 780, 252, 771, 261 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 632, 288, 117, 484
• GCD of 901, 426, 749, 271
• GCD of 150, 296, 790, 671
• GCD of 279, 896, 433, 696
• GCD of 240, 832, 749, 828

Given numbers are 780, 252, 771, 261
The greatest common divisor of numbers 780, 252, 771, 261 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 252, 771, 261 is 3.

1. What is the GCD of 780, 252, 771, 261?

GCD of given numbers 780, 252, 771, 261 is 3

2. How to calculate the greatest common divisor of 780, 252, 771, 261?

We can find the highest common divisor of 780, 252, 771, 261 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 780, 252, 771, 261 i.e 3.

3. How can I use the GCD of 780, 252, 771, 261Calculator?

Out the numbers 780, 252, 771, 261 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.