GCD of 772, 270, 864, 869 Calculator

Given Input numbers are 772, 270, 864, 869

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

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

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

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 869 :

The positive integer divisors of 869 that completely divides 869 are.

1, 11, 79, 869

GCD of numbers is the greatest common divisor

So, the GCD (772, 270, 864, 869) = 1.

Given numbers are 772, 270, 864, 869

The list of prime factors of all numbers are

Prime factors of 772 are 2 x 2 x 193

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 869 are 11 x 79

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

Given numbers are 772, 270, 864, 869

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

Apply this formula for all numbers.

Step1:

LCM(772, 270) = 104220

GCD(772, 270) = ( 772 x 270 ) / 104220

= 772 / 270

= 772

Step2:

LCM(2, 864) = 864

GCD(2, 864) = ( 2 x 864 ) / 864

= 2 / 864

= 2

Step3:

LCM(2, 869) = 1738

GCD(2, 869) = ( 2 x 869 ) / 1738

= 2 / 869

= 2

So, Greatest Common Divisor of 772, 270, 864, 869 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 892, 596, 617, 283
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• GCD of 782, 822, 322, 596
• GCD of 326, 806, 706, 980
• GCD of 166, 349, 198, 256

Given numbers are 772, 270, 864, 869
The greatest common divisor of numbers 772, 270, 864, 869 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 270, 864, 869 is 1.

1. What is the GCD of 772, 270, 864, 869?

GCD of given numbers 772, 270, 864, 869 is 1

2. How to calculate the greatest common divisor of 772, 270, 864, 869?

We can find the highest common divisor of 772, 270, 864, 869 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 772, 270, 864, 869 i.e 1.

3. How can I use the GCD of 772, 270, 864, 869Calculator?

Out the numbers 772, 270, 864, 869 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.