GCD of 871, 756, 779, 362 Calculator

Given Input numbers are 871, 756, 779, 362

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

Divisors of 871 :

The positive integer divisors of 871 that completely divides 871 are.

1, 13, 67, 871

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 779 :

The positive integer divisors of 779 that completely divides 779 are.

1, 19, 41, 779

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

GCD of numbers is the greatest common divisor

So, the GCD (871, 756, 779, 362) = 1.

Given numbers are 871, 756, 779, 362

The list of prime factors of all numbers are

Prime factors of 871 are 13 x 67

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 779 are 19 x 41

Prime factors of 362 are 2 x 181

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

Given numbers are 871, 756, 779, 362

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

Apply this formula for all numbers.

Step1:

LCM(871, 756) = 658476

GCD(871, 756) = ( 871 x 756 ) / 658476

= 871 / 756

= 871

Step2:

LCM(1, 779) = 779

GCD(1, 779) = ( 1 x 779 ) / 779

= 1 / 779

= 1

Step3:

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

= 1 / 362

= 1

So, Greatest Common Divisor of 871, 756, 779, 362 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 109, 152, 541, 769
• GCD of 386, 133, 606, 961
• GCD of 894, 550, 859, 920
• GCD of 700, 598, 426, 884
• GCD of 184, 236, 819, 754

Given numbers are 871, 756, 779, 362
The greatest common divisor of numbers 871, 756, 779, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 871, 756, 779, 362 is 1.

1. What is the GCD of 871, 756, 779, 362?

GCD of given numbers 871, 756, 779, 362 is 1

2. How to calculate the greatest common divisor of 871, 756, 779, 362?

We can find the highest common divisor of 871, 756, 779, 362 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 871, 756, 779, 362 i.e 1.

3. How can I use the GCD of 871, 756, 779, 362Calculator?

Out the numbers 871, 756, 779, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.