GCD of 722, 816, 821, 871 Calculator

Given Input numbers are 722, 816, 821, 871

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

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

Divisors of 871 :

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

1, 13, 67, 871

GCD of numbers is the greatest common divisor

So, the GCD (722, 816, 821, 871) = 1.

Given numbers are 722, 816, 821, 871

The list of prime factors of all numbers are

Prime factors of 722 are 2 x 19 x 19

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 821 are 821

Prime factors of 871 are 13 x 67

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

Given numbers are 722, 816, 821, 871

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

Apply this formula for all numbers.

Step1:

LCM(722, 816) = 294576

GCD(722, 816) = ( 722 x 816 ) / 294576

= 722 / 816

= 722

Step2:

LCM(2, 821) = 1642

GCD(2, 821) = ( 2 x 821 ) / 1642

= 2 / 821

= 2

Step3:

LCM(1, 871) = 871

GCD(1, 871) = ( 1 x 871 ) / 871

= 1 / 871

= 1

So, Greatest Common Divisor of 722, 816, 821, 871 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 672, 289, 220, 914
• GCD of 729, 971, 552, 519
• GCD of 991, 361, 849, 284
• GCD of 925, 491, 167, 797
• GCD of 519, 796, 270, 199

Given numbers are 722, 816, 821, 871
The greatest common divisor of numbers 722, 816, 821, 871 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 722, 816, 821, 871 is 1.

1. What is the GCD of 722, 816, 821, 871?

GCD of given numbers 722, 816, 821, 871 is 1

2. How to calculate the greatest common divisor of 722, 816, 821, 871?

We can find the highest common divisor of 722, 816, 821, 871 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 722, 816, 821, 871 i.e 1.

3. How can I use the GCD of 722, 816, 821, 871Calculator?

Out the numbers 722, 816, 821, 871 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.